1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25

In a closed circuit there is only a coil of inductance L and resistance 100 $$\Omega$$. The coil is situated in a uniform magnetic field. All on a sudden, the magnetic flux linked with the circuit changes by 5 Weber. What amount of charge will flow in the circuit as a result?

A
500 C
B
0.05 C
C
20 C
D
Value of L is to be known to find the charge flown
2
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
For a plane electromagnetic wave, the electric field is given by

$$ \overrightarrow{E} = 90\sin (0.5 \times {10^3}x + 1.5 \times {10^{11}}t)\widehat k$$ V/m. The corresponding magnetic field B will be
A
$$\overrightarrow{B} = 3 \times {10^{ - 7}}\sin (0.5 \times {10^3}x + 1.5 \times {10^{11}}t)\widehat i$$ T
B
$$\overrightarrow{B} = 3 \times {10^{ - 7}}\sin (0.5 \times {10^3}x + 1.5 \times {10^{11}}t)\widehat j$$ T
C
$$\overrightarrow{B} = 27 \times {10^9}\sin (0.5 \times {10^3}x + 1.5 \times {10^{11}}t)\widehat j$$ T
D
$$\overrightarrow{B} = 3 \times {10^{ - 7}}\sin (0.5 \times {10^3}x + 1.5 \times {10^{11}}t)\widehat k$$ T
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Consider a conducting wire of length L bent in the form of a circle of radius R and another conductor of length a (a < < R) is bent in the form of a square. The two loops are then placed in same plane such that the square loop is exactly at the centre of the circular loop. What will be the mutual inductance between the two loops?
A
$${\mu _0}{{\pi {a^2}} \over L}$$
B
$${\mu _0}{{\pi {a^2}} \over 16L}$$
C
$${\mu _0}{{\pi {a^2}} \over 4L}$$
D
$${\mu _0}{{{a^2}} \over {4\pi L}}$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
A conducting circular loop of resistance 20$$\Omega $$ and cross-sectional area 20 $$ \times $$ 10-2 m2 is placed perpendicular to a spatially uniform magnetic field B, which varies with time t as B = 2sin(50$$\pi $$t) T. Find the net charge flowing through the loop in 20 ms starting from t = 0.
A
0.5 C
B
0.2 C
C
0 C
D
0.14 C
WB JEE Subjects