When 100 volts dc is supplied across a solenoid, a current of 1.0 amperes flows in it. When 100 volts ac is applied across the same coil, the current drops to 0.5 ampere. If the frequency of ac source is 50 Hz, then the impedance and inductance of the solenoid are

200 Ω a n d 0.55 h e n r y

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

100 Ω a n d 0.86 h e n r y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

200 Ω a n d 1.0 h e n r y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

100 Ω a n d 0.93 h e n r y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $200 Ω a n d 0.55 h e n r y$
For dc, $R = \frac{V}{i} = \frac{100}{1} = 100 Ω$
For ac, $Z = \frac{V}{i} = \frac{100}{0.5} = 200 Ω$
$∵ Z = \sqrt{R^{2} + (ω L)^{2}} \Rightarrow 200 = \sqrt{(100)^{2} + 4 π^{2} (50)^{2} L^{2}}$
$∴ L = 0.55 H$

Suggest Corrections

Similar questions

When $100 V$ dc is supplied across a solenoid, a current of $1.0 A$ flows in it. When $100 V$ ac is applied across the same coil, the current drops to $0.5 A$ . If the frequency of ac source is $50 H z$ , then the impedance and inductance of the solenoid are

Q. When 100 volts dc is supplied across a solenoid, a current of 1.0 amperes flows in it. When 100 volts ac is applied across the same coil, the current drops to 0.5 ampere. If the frequency of ac source is 50 Hz, then the impedance and inductance of the solenoid are

When $100 v o l t D C$ is applied across a solenoid, a current of $1.0 a m p$ flows in it. When $100 v o l t A C$ is applied across the same coil, the current drops to $0.5 a m p .$ If the frequency of the AC source is $50 H z$ the impedance and inductance of the solenoid are: