The magnetic field in the cylindrical region shown in figure increases at a constant rate of $10.0 m T / s$ . Each side of the square loop abcd and defa has a length of $2.00 c m$ and resistance of $2.00 Ω$ . Correctly match the current in the wire ad in four different situations as listed in column I with the values given in column II.
Column-I Column-II
a) The switch $S_{1}$ is closed but $S_{2}$ is open p) $5 \times 10^{- 7} A, d t o a$
b) $S_{1}$ is open but $S_{2}$ is closed q) $5 \times 10^{- 7} A, a t o d$
c) Both $S_{1}$ and $S_{2}$ are open r) $2.5 \times 10^{- 8} A, d t o a$
d) Both $S_{1}$ and $S_{2}$ are closed s) No current flows

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

$a - p; b - s; c - r; d - q$

$a - r; b - s; c - q; d - p$

$a - q; b - p; c - s; d - s$

$a - q,; b - r; c - s; d - p$

answer is B.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The switch $S_{1}$ is closed but $S_{2}$ is open

$e = \frac{dϕ}{dt} = A \frac{dB}{dt} = 4 \times 10^{- 4} \times 10^{- 2} = 4 \times 10^{- 6} V$

$i = \frac{4 \times 10^{- 6}}{8} = 5 \times 10^{- 7} A$ from a to d.

Similarly,

when $S_{1}$ is open but $S_{2}$ is closed, i= $5 \times 10^{- 7} A, d t o a$

when Both $S_{1}$ and $S_{2}$ are closed, no current flows as the circuit forms a balanced wheat stone bridge and no current will flow along ad

when Both $S_{1}$ and $S_{2}$ are open , no current flows as it will be a open circuit.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

	Column-I		Column-II
a)	The switch $S_{1}$ is closed but $S_{2}$ is open	p)	$5 \times 10^{- 7} A, d t o a$
b)	$S_{1}$ is open but $S_{2}$ is closed	q)	$5 \times 10^{- 7} A, a t o d$
c)	Both $S_{1}$ and $S_{2}$ are open	r)	$2.5 \times 10^{- 8} A, d t o a$
d)	Both $S_{1}$ and $S_{2}$ are closed	s)	No current flows