Physics Objective Questions and Answers: Magnetic Effects of Electric Current
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Multiple Choice Questions
(a) same
(b) 1/8
(c) 1/4
(d) 1/2
Show Answer & Explanation
Answer: (d) 1/2
Explanation:
1. Cutting widthwise (across the length) leaves the cross-section, and so the pole strength, unchanged.
2. Cutting lengthwise halves the cross-section, so the pole strength halves.
3. Each piece therefore has half the original pole strength.
Teacher's Note:
1. Pole strength is proportional to the area of cross-section.
2. Poles can never be separated; each piece shows two new poles.
(a) run from the north pole to the south pole
(b) do not exist
(c) depend on the area of cross-section of the magnet
(d) run from the south pole to the north pole
Show Answer & Explanation
Answer: (d) run from the south pole to the north pole
Explanation:
1. Outside the magnet lines run from N to S.
2. They are closed curves, so inside the magnet they run from S to N.
Teacher's Note:
1. Magnetic field lines form closed loops.
(a) weber
(b) tesla
(c) oersted
(d) gauss
Show Answer & Explanation
Answer: (b) tesla
Explanation:
1. The SI unit of B is the tesla (T = Wb/m²).
2. Gauss is the CGS unit.
Teacher's Note:
1. Weber is the unit of flux.
(a) tesla
(b) gauss
(c) weber
(d) none of these
Show Answer & Explanation
Answer: (b) gauss
Explanation:
1. The CGS unit of B is the gauss.
2. 1 T = 10⁴ gauss.
Teacher's Note:
1. Tesla is the SI unit.
(a) attract each other
(b) repel each other
(c) depend on the material of the wires
(d) cannot say
Show Answer & Explanation
Answer: (a) attract each other
Explanation:
1. Each wire is in the field of the other.
2. By Fleming's left-hand rule, parallel currents attract.
Teacher's Note:
1. Parallel currents attract, antiparallel currents repel.
(a) Faraday's laws of electromagnetic induction
(b) Fleming's left-hand rule
(c) Lenz's law
(d) Maxwell's cork screw rule
Show Answer & Explanation
Answer: (d) Maxwell's cork screw rule
Explanation:
1. The cork-screw (right-hand thumb) rule gives the direction of the field of a current.
2. Fleming's left-hand rule gives the force.
Teacher's Note:
1. Distinguish: field direction by right-hand thumb rule, force by Fleming's left-hand rule.
(a) 2 × 10⁻⁵ T
(b) 2 × 10⁵ T
(c) 10⁵ T
(d) 10⁻⁵ T
Show Answer & Explanation
Answer: (a) 2 × 10⁻⁵ T
Explanation:
1. \( B = \dfrac{\mu_0 I}{2\pi r} = \dfrac{4\pi\times10^{-7}\times100}{2\pi\times1} \).
2. \( B = 2\times10^{-5} \) T.
Teacher's Note:
1. Field of a long straight wire is inversely proportional to distance.
(a) towards north
(b) down
(c) up
(d) towards west
Show Answer & Explanation
Answer: (b) down
Explanation:
1. Take east = x, north = y, up = z. Then v = +x and B = −y.
2. \( \vec v\times\vec B = \hat x\times(-\hat y) = -\hat z \), i.e. downward.
3. For a positive charge the force is along \( \vec v\times\vec B \): downward.
Teacher's Note:
1. Fleming's left-hand rule: first finger field, middle finger current (motion of positive charge), thumb force.
(a) \( i\pi r B_0 \)
(b) \( 2\pi r i B_0 \)
(c) zero
(d) \( i\pi r^2 B_0 \)
Show Answer & Explanation
Answer: (c) zero
Explanation:
1. The forces on opposite elements of the loop are equal and opposite.
2. The net force on a closed current loop in a uniform field is zero (only a torque can exist).
Teacher's Note:
1. Closed loop, uniform field: net force zero.
(a) increase
(b) decrease
(c) remain the same
(d) become zero
Show Answer & Explanation
Answer: (a) increase
Explanation:
1. Soft iron gets magnetised in the coil's field and adds its own field.
2. So the field becomes much stronger.
Teacher's Note:
1. This is how an electromagnet is made.
(a) high retentivity and high coercivity
(b) low retentivity and low coercivity
(c) high retentivity and low coercivity
(d) low retentivity and high coercivity
Show Answer & Explanation
Answer: (b) low retentivity and low coercivity
Explanation:
1. An electromagnet must magnetise strongly and lose magnetism when the current is switched off.
2. This needs low retentivity and low coercivity, as in soft iron.
Teacher's Note:
1. Permanent magnets need high retentivity and high coercivity.
(a) 8 × 10⁻¹⁵ N
(b) 10⁴ N
(c) 1.6 × 10⁻¹⁹ N
(d) zero
Show Answer & Explanation
Answer: (d) zero
Explanation:
1. \( F = qvB\sin\theta \) with \( \theta = 0^\circ \).
2. So \( F = 0 \).
Teacher's Note:
1. No force when the motion is along the field.
(a) 0°
(b) 45°
(c) 60°
(d) 90°
Show Answer & Explanation
Answer: (a) 0°
Explanation:
1. At the magnetic equator the field is horizontal.
2. So the dip angle is 0°.
Teacher's Note:
1. At the poles the dip is 90°.
(a) the process of charging a sphere
(b) the process of producing a magnetic field in a coil
(c) the process of producing an induced current in a coil whenever there is relative motion between the coil and a magnet
(d) the process of producing a cooling effect
Show Answer & Explanation
Answer: (c) the process of producing an induced current in a coil whenever there is relative motion between the coil and a magnet
Explanation:
1. Faraday showed that a changing magnetic flux induces an emf.
2. Relative motion of coil and magnet changes the flux.
Teacher's Note:
1. Induced emf needs a change of flux.
(a) the number of turns in the coil
(b) the intensity of the magnetic field
(c) the relative speed between the coil and the magnet
(d) the resistance of the coil
Show Answer & Explanation
Answer: (d) the resistance of the coil
Explanation:
1. \( \varepsilon = -N\,\dfrac{\Delta\Phi}{\Delta t} \) depends on N, B and the rate of change.
2. Resistance affects only the current, not the emf.
Teacher's Note:
1. Current = emf ÷ resistance.
(a) 8 V
(b) 4 V
(c) 10 V
(d) 6 V
Show Answer & Explanation
Answer: (a) 8 V
Explanation:
1. Initial flux \( \Phi = BA = 1.0\times0.01 = 0.01 \) Wb; final flux 0.
2. \( \varepsilon = N\Delta\Phi/\Delta t = 80\times0.01/0.1 = 8 \) V.
Teacher's Note:
1. Multiply the flux change by the number of turns.
(a) 0.018 V
(b) 0.016 V
(c) 0.020 V
(d) 0.012 V
Show Answer & Explanation
Answer: (a) 0.018 V
Explanation:
1. Circle: \( 2\pi r = 88 \) cm gives \( r = 14 \) cm, area = 616 cm² = 0.0616 m².
2. Initial flux = 2.5 × 0.0616 = 0.154 Wb.
3. Square side = 22 cm, area = 484 cm² = 0.0484 m²; final flux = 3.0 × 0.0484 = 0.1452 Wb.
4. \( \varepsilon = (0.154-0.1452)/0.5 = 0.0176 \approx 0.018 \) V.
Teacher's Note:
1. A fixed perimeter encloses a larger area as a circle than as a square.
(a) 50 V
(b) 60 V
(c) 80 V
(d) 40 V
Show Answer & Explanation
Answer: (a) 50 V
Explanation:
1. Flux = 10 × 0.01 = 0.1 Wb.
2. \( \varepsilon = 50\times0.1/0.1 = 50 \) V.
Teacher's Note:
1. 100 cm² = 0.01 m².
(a) DC voltage
(b) AC voltage
(c) both AC and DC voltage
(d) none of these
Show Answer & Explanation
Answer: (b) AC voltage
Explanation:
1. A transformer works on changing flux, so it needs AC input and gives AC output.
Teacher's Note:
1. It does not work with steady DC.
(a) to transform electrical energy into mechanical energy
(b) to obtain suitable DC voltage
(c) to transform AC into DC
(d) to obtain a suitable AC voltage
Show Answer & Explanation
Answer: (d) to obtain a suitable AC voltage
Explanation:
1. Transformers step AC voltages up or down.
Teacher's Note:
1. Rectifiers change AC to DC.
(a) voltage
(b) current
(c) wattage
(d) none of these
Show Answer & Explanation
Answer: (b) current
Explanation:
1. Step down means lower voltage in the secondary.
2. Power is nearly the same, so current in the secondary is larger.
Teacher's Note:
1. V × I stays nearly constant.
(a) mutual induction
(b) self-induction
(c) electromagnetic induction alone
(d) none of these
Show Answer & Explanation
Answer: (a) mutual induction
Explanation:
1. The changing flux produced by the primary induces an emf in the neighbouring secondary coil.
2. This is mutual induction.
Teacher's Note:
1. Self-induction involves a single coil.
(a) the iron core of the transformer
(b) the vibrations of the primary coil
(c) a varying induced electric field
(d) a varying magnetic flux (field) linked with it
Show Answer & Explanation
Answer: (d) a varying magnetic flux (field) linked with it
Explanation:
1. The alternating current in the primary produces an alternating magnetic flux in the core.
2. This changing flux through the secondary induces the emf.
Teacher's Note:
1. Without changing flux there is no induced emf.
(a) 200
(b) 100
(c) 50
(d) 20
Show Answer & Explanation
Answer: (a) 200
Explanation:
1. \( N_p/N_s = V_p/V_s = 220/2200 = 1/10 \).
2. \( N_p = 2000/10 = 200 \).
Teacher's Note:
1. Voltage ratio equals turns ratio.
(a) 4.4%
(b) 20%
(c) 33%
(d) 90%
Show Answer & Explanation
Answer: (d) 90%
Explanation:
1. Input power = 220 × 5 = 1100 W.
2. Output power = 11 × 90 = 990 W.
3. Efficiency = 990/1100 × 100 = 90%.
Teacher's Note:
1. Efficiency is output power divided by input power.
(a) 4 A
(b) 2 A
(c) 6 A
(d) 10 A
Show Answer & Explanation
Answer: (b) 2 A
Explanation:
1. \( I_s/I_p = N_p/N_s = 140/280 \).
2. \( I_s = 4\times\tfrac12 = 2 \) A.
Teacher's Note:
1. Current ratio is the inverse of the turns ratio.
(a) the initial magnetic flux
(b) the final magnetic flux
(c) the rate of change of magnetic flux
(d) the change in magnetic flux
Show Answer & Explanation
Answer: (d) the change in magnetic flux
Explanation:
1. \( q = I\Delta t = \dfrac{\varepsilon}{R}\Delta t = \dfrac{\Delta\Phi}{R} \).
2. The charge depends on the total change of flux, not on how fast it changes.
Teacher's Note:
1. The rate of change affects the current, not the total charge.
(a) converting DC to AC
(b) converting AC to DC
(c) reducing power consumption
(d) splitting the current
Show Answer & Explanation
Answer: (b) converting AC to DC
Explanation:
1. The coil generates an alternating emf.
2. The split ring reverses the connection every half turn, so the external current is in one direction (DC).
Teacher's Note:
1. Slip rings are used in AC generators.
(a) the direction of rotation of the coil is reversed
(b) the current in the coil always flows in the same direction
(c) the direction of the current in the coil is reversed every half turn
(d) none of these
Show Answer & Explanation
Answer: (c) the direction of the current in the coil is reversed every half turn
Explanation:
1. Without reversal the torque on the coil would reverse after half a turn.
2. The split ring reverses the current every half rotation, so the torque keeps the same sense.
Teacher's Note:
1. Commutator: reverses the current in the coil.
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