1
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1 In a coil of resistance $$8 \,\Omega$$, the magnetic flux due to an external magnetic field varies with time as $$\phi=\frac{2}{3}\left(9-t^{2}\right)$$. The value of total heat produced in the coil, till the flux becomes zero, will be _____________ $$J$$.

2
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1 The effective current I in the given circuit at very high frequencies will be ___________ A. 3
JEE Main 2022 (Online) 25th July Evening Shift
Numerical
+4
-1 Magnetic flux (in weber) in a closed circuit of resistance 20 $$\Omega$$ varies with time t(s) at $$\phi$$ = 8t2 $$-$$ 9t + 5. The magnitude of the induced current at t = 0.25 s will be ____________ mA.

4
JEE Main 2022 (Online) 30th June Morning Shift
Numerical
+4
-1

A series LCR circuit with $$R = {{250} \over {11}}\,\Omega$$ and $${X_L} = {{70} \over {11}}\,\Omega$$ is connected across a 220 V, 50 Hz supply. The value of capacitance needed to maximize the average power of the circuit will be _________ $$\mu$$F. (Take : $$\pi = {{22} \over 7}$$)

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