Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 201912 AprilMorning Shift
Exam
JEE Main
Year
2019
Date
12 April
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Induction

JEE Main 2019 · 12 April · Morning Shift · Physics · Electromagnetic Induction

The figure shows a square loop L of side 5cm which is connected to...

The figure shows a square loop LL of side 5cm5cm which is connected to a network of resistances. The whole setup is moving towards the right with a constant speed of 1cms−11cm{s}^{- 1} . At some instant, a part of LL is in a uniform magnetic field of 1T1T perpendicular to the plane of the loop. If the resistance of LL is 1.7Ω,1 . 7Ω, the current in the loop at that instant will be close to:
The figure shows a square loop L of side 5cm which is connected to a network of resistances. The whole setup is moving

Options

  1. A115\muA115\muA
  2. B60\muA60\muA
  3. C150\muA150\muA
  4. D170\muA170\muA

Correct answer

D. 170\muA170\muA

Step-by-step solution

If BB is magnetic field, vv is velocity of rod and ll is the length of rod, then induced EMF in moving road is given by

ε=Bvlε = Bvl
=(1T)(1cms−1)(5cm)= \left(1T\right) ( 1cm{s}^{- 1} ) ( 5cm )
=1×1×10−2×5×10−2= 1 \times 1 \times {10}^{- 2} \times 5 \times {10}^{- 2}
=5×10−4V= 5 \times {10}^{- 4}V
As given circuit forms balanced whetstone bridge, the current through 3Ω3Ω is zero.
Equivalent resistance Req=4×24+2+1.7=3Ω{R}_{eq} = \dfrac{4 \times 2}{4 + 2} + 1.7 = 3Ω
Current in the circuit i=εReq=5×10−43i = \dfrac{ε}{{R}_{eq}} = \dfrac{5 \times {10}^{- 4}}{3}
=167\muA≈170μA= 167\muA \approx 170\mu A

Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

List-I contains four conducting loops lying in the XY plane, as shown in the figures. The… JEE Advanced 2026A 30 cm long solenoid has 10 turns per cm and area of 5 cm ^2 . The current through the… JEE Main 2026A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B… JEE Main 2026An inductor of inductance 10 mH having resistance of 100\,Ω is connected to battery of… JEE Main 2026A metal rod of length L rotates about one end at origin with a uniform angular velocity ω… JEE Main 2026A circular loop of radius 20 cm and resistance 2\ Ω is placed in a time varying magnetic… JEE Main 2026In the given circuit below inductance values of L_1 , L_2 and L_3 are same. The magnetic… JEE Main 2026A circular current loop of radius R is placed inside square loop of side length L (L >>… JEE Main 2026 Full Electromagnetic Induction list All JEE Main PYQs