CBSE Class 12 Physics Moving Charges And Magnetic Force Worksheet

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Chapter 4 Moving Charges and Magnetism Physics Worksheet for Class 12

Class 12 Physics students should refer to the following printable worksheet in Pdf in Class 12. This test paper with questions and solutions for Class 12 Physics will be very useful for tests and exams and help you to score better marks

Class 12 Physics Chapter 4 Moving Charges and Magnetism Worksheet Pdf

Question. What is the magnitude of the force experienced by a stationary charge in a uniform magnetic field?
Answer. 
Zero ( Reason ,v=0 )

Question. A moving neutron enters a uniform magnetic field perpendicularly. What is the force on the neutron due to the magnetic field?
Answer. Zero ( reason q=0)

Question. An electron beam is moving vertically upwards. It passes through a magnetic field directed from south to north in a horizontal plane. In which direction the beam will be deflected?
Answer. South ( Hint , Fleming’s left hand rule)

Question. Does a current carrying coil produce a uniform magnetic field?
Answer. No, however at the centre of the coil, the magnetic field is nearly uniform.

Question. There are two identical galvanometers. One is converted into an ammeter and the other into a milliammeter. Which of the shunts will be larger resistance?
Answer. Milli ammeter.(Reason: It need to measure only less current and hence its resistance can be higher.)

Question. A body is suspended from the lower end of a vertical spring. A direct current is passed through the spring. What will happen?
Answer. The body will be lifted upwards.
(Reason: The direction of current through each turn of the coil is same. Parallel currents in the same direction attract each other. Hence the coils contract.)

Question. A charge of 3C is moving with a velocity 𝑣⃗=(4𝑖̂+3𝑗̂)𝑚𝑠−1in a magnetic field
𝐵⃗⃗=(4𝑖̂+3𝑗̂)𝑇.
What is the force acting on the charge?
Answer. 𝐹𝑜𝑟𝑐𝑒,𝐹⃗=𝑞(𝑣⃗ × 𝐵⃗⃗)=0
Cross product of two equal vectors is zero.

Question. An 𝛼 particle and a 𝛽 particle are projected with the same velocity perpendicular to a magnetic field. Which one will experience more force?
Answer. 𝐹⃗=𝑞(𝑣⃗×𝐵⃗)
𝐹⃗∞𝑞
𝛼 particle has more charge than 𝛽particle. Hence 𝛼 particle will experience more force.

Question. An electron travelling west to east enters a chamber having a uniform electrostatic field in a north to south direction. Specify the direction in which a uniform magnetic field should be set up to prevent the electron from its straight line path.
Answer. 

Magnetic field must act in vertically down ward direction.
(Hint: Apply Fleming’s left hand rule)

Question. A solenoid 1.5cm long and 0.4cm in diameter possesses 10 turns per cm of length. A current of 5A flows through it. Find the magnetic field at the axis inside the solenoid.
Answer. 
2𝜋×10−3𝑇


3 Marks

Question. A circular coil, having 100 turns of wire, of radius 20cm each, lies in the XY plane with its centre at the origin of co-ordinates. Find the magnetic field, at the point (𝑜,𝑜,20√3 𝑐𝑚), when the coil carries a current of (2/𝜋) 𝐴.
Answer. 𝐵=25𝜇𝑇

Question. The horizontal component of the earth’s magnetic field at a certain place is 5×10−5𝑇 and the direction of the field from the geographic south to north. A very long straight conductor is carrying a steady current of 2A. What is the force per unit length on it when it is placed on a horizontal table and the direction of the current is (a) east to west (b) south to north?
Answer. (𝑎), 𝑓=10−4𝑁𝑚−1,  (𝑏)𝑧𝑒𝑟𝑜. 𝐻𝑖𝑛𝑡:𝑓=𝐹/𝑙=𝐼𝐵 𝑠𝑖𝑛𝜃

Question. What is the magnitude of the force on a wire of length 0.05m paced inside a solenoid near its centre, making an angle of 30𝑜 with its axis? The wire carries a current of 8A and the magnetic field due to the solenoid is of magnitude 0.50T.sensitivity of the modified meter greater or less than the original meter?
Answer. 𝐹=0.1𝑁,   𝐻𝑖𝑛𝑡: 𝐹=𝐼𝑙𝐵 𝑠𝑖𝑛𝜃


MCQ

Question. A and B are two concentric coils of centre O and carry currents 𝐼1 𝑎𝑛𝑑 𝐼2 as shown in fig. If the ratio of their radii is 1:2 and ratio of the flux densities at O due to A and B is 1:3, then value of 𝐼1 𝐼2 is
𝑎) 1 /4
𝑏) 1 /3
𝑐) 1 /6
𝑑) 1 /2
Answer. C

Question. A current carrying coil is subjected to a uniform magnetic field. The coil will orient so that its plane becomes
a) Inclined at 45𝑜 to the magnetic field.
b) Inclined at 30𝑜 to the magnetic field.
c) Parallel to the magnetic field.
d) Perpendicular to the magnetic field.
Answer. D

Question. To make the magnetic field radial in a moving coil galvanometer
a) Poles are cylindrically cut.
b) The number of turns in the coil is increased.
c) Coil is wound on Aluminium frame.
d) Phosphor bronze spring is used.
Answer. A

Question. To convert a galvanometer into an ammeter of given range, a _____ resistance is connected in ____ with the galvanometer.
𝑎) 𝑙𝑜𝑤,𝑠𝑒𝑟𝑖𝑒𝑠
𝑏) 𝑙𝑜𝑤,𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙
𝑐) ℎ𝑖𝑔ℎ ,𝑠𝑒𝑟𝑖𝑒𝑠
𝑑) ℎ𝑖𝑔ℎ ,𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙
Answer. B

Question. A certain electric motor wire that carries a current of 4A is perpendicular to a magnetic field of 0.8T. What is the force on each cm of the wire?
𝑎) 0.08𝑁
𝑏) 0.06𝑁
𝑐) 0.03𝑁
𝑑) 0.01𝑁
Answer. C

Question. Two parallel wires of 9m each are separated by a distance of 0.15m. If they carry equal currents in the same direction and exert a total force of 30×10−7𝑁 on each other, then the value of current must be
𝑎) 2.5𝐴
𝑏) 3.5𝐴
𝑐) 1.5𝐴
𝑑) 0.5𝐴
Answer. D

Question. In a certain region of space, the electric field 𝐸⃗ and magnetic field 𝐵⃗ are perpendicular to each other. An electron enters perpendicularly to both the fields and moves undeflected. The velocity of the electron is
𝑎) (𝐸 )/𝐵
𝑏) (𝐵 )/𝐸
𝑐) 𝐸⃗×𝐵⃗
𝑑) 𝐸 .⃗𝐵⃗
Answer. A

Question. An electron is moving in a region of electric field and magnetic field, it will gain energy from,
𝑎) 𝑚𝑎𝑔𝑛𝑒𝑡𝑖𝑐 𝑓𝑖𝑒𝑙𝑑
𝑏) 𝑒𝑙𝑒𝑐𝑡𝑟𝑖𝑐 𝑓𝑖𝑒𝑙𝑑
𝑐) 𝑏𝑜𝑡ℎ 𝑓𝑖𝑒𝑙𝑑𝑠
𝑑) 𝑛𝑜𝑛𝑒 𝑜𝑓 𝑡ℎ𝑒𝑠𝑒
Answer. B

MOVING CHARGES AND MAGNETIC FORCE
 
Magnetic effect of current
 
In 1820, Danish Physicist, Hans Christian Oersted observed that current through a wire caused a deflection in a nearby magnetic needle. This indicates that magnetic field is associated with a current carrying conductor.
 
Magnetic field around a straight conductor carrying current
A smooth cardboard with iron filings spread over it, is fixed in a horizontal plane with the help of a clamp. A straight wire passes through a hole made at the centre of the cardboard.
 
A current is passed through the wire by connecting its ends to a battery. When the cardboard is gently tapped, it is found that the iron filings arrange themselves along concentric circles.
 
This clearly shows that magnetic field is developed around a current carrying conductor.
CBSE Class 12 Physics Moving Charges And Magnetic Force Worksheet 1
 
The direction of magnetic field with respect to the electric current through the conductor is given by Maxwells’s right hand cork screw rule.
 
It states that if a right handed cork screw is rotated to advance along the direction of the current through a conductor, then the direction of rotation of the screw gives the direction of the magnetic lines of force around the conductor.
 
The direction of the magnetic field is given by Right-hand thumb rule stated below:
Curl the fingers of right hand around the thumb, if the curled fingers give the direction of current, then right-hand thumb gives the direction of the magnetic field.
CBSE Class 12 Physics Moving Charges And Magnetic Force Worksheet 2
 
 
Magnetic field lines of a circular coil carrying current.
Biot – Savart Law
Biot and Savart conducted many experiments to determine the factors on which the magnetic field due to current in a conductor depends.
The results of the experiments are summarized as Biot-Savart law.
Let XY be a conductor carrying a current I
AB = dl is a small element of the conductor. P is a point at a distance r from the midpoint O of AB.
CBSE Class 12 Physics Moving Charges And Magnetic Force Worksheet 3

Biot - Savart law

The magnetic induction dB at P due to the element of length dl is
(i) directly proportional to the current (I)
(ii) directly proportional to the length of the element (dl )
(iii) directly proportional to the sine of the angle between dl and the line joining element dl and the point P (sin θ)
(iv) inversely proportional to the square of the distance of the point from the element (1/r2)
CBSE Class 12 Physics Moving Charges And Magnetic Force Worksheet 4
μ = μr μo where μr is the relative permeability of the medium and
μ0 is the permeability of free space.
μo = 4π × 10–7 henry/metre. For air
μr = 1.
So, in air medium

CBSE Class 12 Physics Moving Charges And Magnetic Force Worksheet 5

The direction of dB is perpendicular to the plane containing current element I dl and r (i.e plane of the paper) and acts inwards. The unit of magnetic induction is tesla (or) weber m-2.

 

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