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Moving Charges and Magnetism · Question 13

JEE Main 2026 (Online) 2nd April Evening ShiftMCQMedium📈 Topic in 13% papers+4−1
1

A particle having charge 10-9 C moving in x-y plane in fields of 0.4 j N/C and 4 10-3 k T experiences a force of (4 i+2 j ) 10-10 N. The velocity of the particle at that instant is m/s.

  1. 50 i+100 j
  2. 100 i+50 j
  3. -50 i+100 j
  4. 50 i-100 j

Answer

(1) 50 i+100 j

Solution

Lorentz force: F = q E + q( v B)

Electric part: q E = 10-9 0.4 j = 4 10-10 j N

∴ Magnetic part: q( v B) = (4 i + 2 j) 10-10 - 4 10-10 j = (4 i - 2 j) 10-10 N

Let v = vx i + vy j (motion in the x-y plane), B = B k:

v B = B(vy i - vx j)

qB = 10-9 4 10-3 = 4 10-12

⇒ 4 10-12 vy = 4 10-10 ⇒ vy = 100 m/s

⇒ -4 10-12 vx = -2 10-10 ⇒ vx = 50 m/s

∴ v = 50 i + 100 j m/s

Answer: (1)

JEE Main 2026 (Online) 2nd April Evening Shift

Keep practising — Moving Charges and Magnetism

2

The magnetic field at the centre of a current carrying circular loop of radius R is 16 . The magnetic field at a distance x = 3R on its axis from the centre is .

  1. 8
  2. 2
  3. 4
  4. 2 2
JEE Main 2026 (Online) 28th January Morning Shift
3

Three long straight wires carrying current are arranged mutually parallel as shown in the figure. The force experienced by 15 cm length of wire Q is . ( 0 = 4 10-7 T m/A) [figure]

  1. 6 10-6 N towards P
  2. 6 10-6 N towards R
  3. 6 10-7 N towards P
  4. 6 10-7 N towards R
JEE Main 2026 (Online) 28th January Morning Shift
4

A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section. Magnetic field due to this current is: Choose the correct answer from the options given below:

  1. B, C Only
  2. E Only
  3. A, D Only
  4. D Only
JEE Main 2026 (Online) 28th January Evening Shift
5

A moving coil galvanometer of resistance 100 shows a full scale deflection for a current of 1 mA. The value of resistance required to convert this galvanometer into an ammeter, showing full scale deflection for a current of 5 mA, is

  1. 25
  2. 2.5
  3. 0.5
  4. 10
JEE Main 2026 (Online) 24th January Evening Shift
6

Two identical circular loops P and Q each of radius r are lying in parallel planes such that they have common axis. The currents through P and Q are I and 4I respectively in clockwise direction as seen from O. The net magnetic field at O is : [figure]

  1. 0 I4 2r towards Q
  2. 3 0 I4 2r towards Q
  3. 3 0 I4 2r towards P
  4. 0 I4 2r towards P
JEE Main 2026 (Online) 24th January Evening Shift
7

The current passing through a conducting loop in the form of equilateral triangle of side 4 3 cm is 2 A. The magnetic field at its centroid is 10-5 T. The value of is . (Given: 0 = 4 10-7 SI units)

  1. 3 3
  2. 2 3
  3. 3
  4. 32
JEE Main 2026 (Online) 23rd January Evening Shift
8

A current carrying solenoid is placed vertically and a particle of mass m with charge Q is released from rest. The particle moves along the axis of solenoid. If g is acceleration due to gravity then the acceleration (a) of the charged particle will satisfy :

  1. a > g
  2. a = 0
  3. 0 < a < g
  4. a = g
JEE Main 2026 (Online) 21st January Morning Shift
9

An infinitely long straight wire carrying current I is bent in a planar shape as shown in the diagram. The radius of the circular part is r. The magnetic field at the centre O of the circular loop is : [figure]

  1. - 02 Ir( + 1) i
  2. - 02 Ir( - 1) i
  3. 02 Ir( + 1) i
  4. 02 Ir( - 1) i
JEE Main 2026 (Online) 21st January Evening Shift
10

Figure shows a current carrying square loop ABCD of edge length 'a' lying in a plane. If the resistance of the ABC part is r and that of ADC part is 2r, then the magnitude of the resultant magnetic field at centre of the square loop is [figure]

  1. 2 0 I3 a
  2. 2 0 I3 a
  3. 3 0 I 2a
  4. 0 I2 a
JEE Main 2025 (Online) 8th April Evening Shift
11

A particle of charge q, mass m and kinetic energy E enters a magnetic field perpendicular to its velocity and undergoes a circular arc of radius (r). Which of the following curves represents the variation of r with E?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
JEE Main 2025 (Online) 7th April Morning Shift

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