Two coils A and B have mutual inductance 2- 10-2 henry- If the current in the primary is i - 5 sin 10- t then maximum value of emf induced in coil B is

The correct option is C π volt Given : #160; #160; Current #160; #160; i = 5 sin (10π t) #160; #160; #160; #160; #160 ...

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Byju's Answer

Standard XII

Physics

Alternating Current Applied to an Inductor

Two coils A a...

Question

Two coils A and B have mutual inductance $2 \times 10^{- 2}$ henry. If the current in the primary is $i = 5 s i n 10 π t$ then maximum value of emf induced in coil B is

π v o l t

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\frac{π}{2} v o l t

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\frac{π}{3} v o l t

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\frac{π}{4} v o l t

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Solution

The correct option is C $π v o l t$
Given : Current $i = 5$ $s i n (10 π t)$
Mutual inductance $L = 2 \times 10^{- 2} H = 0.02 H$
Induced emf, $E = - M \frac{d i}{d t}$

$∴$ $| E | = M \times 5 (10 π) c o s (10 π t)$
$| E |_{m a x} = M \times 50 π = 0.02 \times 50 π = π$ volt

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Two coils A and B have mutual inductance 2×10−2 henry. If the current in the primary is i=5sin10πt then maximum value of emf induced in coil B is

The correct option is C πvoltGiven : Current i=5 sin(10πt) Mutual inductance L=2×10−2H=0.02H Induced emf, E=−Mdidt∴ |E|=M×5(10π)cos(10πt)|E|max=M×50π=0.02×50π=π volt

Two coils A and B have mutual inductance $2 \times 10^{- 2}$ henry. If the current in the primary is $i = 5 s i n 10 π t$ then maximum value of emf induced in coil B is

The correct option is C $π v o l t$
Given : Current $i = 5$ $s i n (10 π t)$
Mutual inductance $L = 2 \times 10^{- 2} H = 0.02 H$
Induced emf, $E = - M \frac{d i}{d t}$

$∴$ $| E | = M \times 5 (10 π) c o s (10 π t)$
$| E |_{m a x} = M \times 50 π = 0.02 \times 50 π = π$ volt