Electric Charges and Fields

JEE Main 2024 (Online) 29th January Morning ShiftNumericalMedium📈 Topic in 12% papers+4

Ques. 1JEE Main 2024, 29 January (Morning Shift)

An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density + . The electron at t=0 is at a distance of 1 m from S and has a speed of 1 m/s. The maximum value of if the electron strikes S at t=1 s is [ m 0e ] Cm2, the value of is .

Answer

Solution

Field of the sheet E= 2 0 ⇒ electron is pulled towards S with a= e 2 0 m

is maximum when the electron starts moving away from S (u=1 m/s away), so it must come back.

Take towards S as + ve: s=+1 m, u=-1 m/s, t=1 s

s=ut+ 12at2 1=-1+ a2 a=4 m/s2

e 2 0 m=4 =8 m 0e

Answer: 8

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Ques. 2JEE Main 2024, 29 January (Evening Shift)

An electric field is given by (6 i+5 j+3 k) N/C. The electric flux through a surface area 30 i m2 lying in YZ-plane (in SI unit) is :

Ques. 3JEE Main 2024, 27 January (Morning Shift)

A thin metallic wire having cross sectional area of 10-4 m2 is used to make a ring of radius 30 cm. A positive charge of 2 C is uniformly distributed over the ring, while another positive charge of 30 pC is kept at the centre of the ring. The tension in the ring is N; provided that the ring does not get deformed (neglect the influence of gravity). (given, 14 0 = 9 109 SI units)

Ques. 4JEE Main 2024, 27 January (Evening Shift)

Two charges of -4 and +4 are placed at the points A(1, 0, 4) m and B(2, -1, 5) m located in an electric field E=0.20 i V/cm. The magnitude of the torque acting on the dipole is 8 10-5 Nm, where = .

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