When the current in a primary coil is changed from $0.5$ $a m p e r e$ to $2.0$ $a m p e r e$ in $300$ $m i l l i s e c o n d s$ , then the emf induced in secondary coil is $0.5$ $v o l t$ . Calculate the mutual inductance between the two coils.

Open in App

Solution

$e = 2 M \frac{d i}{d t}$
$Δ i = 1.5$ $A$
$Δ t = 300$ $m s e c$
$\Rightarrow 0.5 = 2 M \times \frac{1.5}{300} \times 1000$
$\Rightarrow M = 0.05$ $H$

Suggest Corrections

Similar questions

The mutual inductance between two coils is 1.25 henry. If the current in the primary coil changes at a rate of 80 ampere/second, then the induced e.m.f. in the secondary coil is

In a transformer, the coefficient of mutual inductance between the primary and the secondary coil is 0.2 henry. When the current changes by 5 ampere/second in the primary coil, the induced e.m.f. in the secondary coil will be

If a current of 3 amperes flowing in the primary coil is reduced to zero in 0.001second, then the induced e.m.f in the secondary coil is 15000 volts. The mutual inductance between the two coils is

Q. When a current of

4 A

between two coils changes to

12 A

0.5 s

in primary and induces an emf of

50 m V

in the secondary. Calculate the mutual inductance between the two coils.

Q. The back e.m.f. induced in a coil, when current changes from 1 ampere to zero in one millisecond, is 4 volts, the self inductance of the coil is

Join BYJU'S Learning Program

When the current in a primary coil is changed from 0.5 ampere to 2.0 ampere in 300 milliseconds, then the emf induced in secondary coil is 0.5 volt. Calculate the mutual inductance between the two coils.

e=2MdidtΔi=1.5 AΔt=300 msec⇒0.5=2M×1.5300×1000⇒M=0.05 H

When the current in a primary coil is changed from $0.5$ $a m p e r e$ to $2.0$ $a m p e r e$ in $300$ $m i l l i s e c o n d s$ , then the emf induced in secondary coil is $0.5$ $v o l t$ . Calculate the mutual inductance between the two coils.

$e = 2 M \frac{d i}{d t}$
$Δ i = 1.5$ $A$
$Δ t = 300$ $m s e c$
$\Rightarrow 0.5 = 2 M \times \frac{1.5}{300} \times 1000$
$\Rightarrow M = 0.05$ $H$