If 110V D.C. is applied across a solenoid, a current of 1.1A is produced in it. When 110V A.C. is applied across the same coil, the current drops to 0.55A . If the frequency of the A.C. source is 50Hz , the inductance of the solenoid is

Question

If 110V D.C. is applied across a solenoid, a current of 1.1A is produced in it. When 110V A.C. is applied across the same coil, the current drops to 0.55A . If the frequency of the A.C. source is 50Hz , the inductance of the solenoid is (A) 0.60H (B) 0.55H (C) 0.50H (D) 0.45H

Tardigrade Admin · Accepted Answer

R=(110/1 . 1)=100Ω Impedance, Z=(110/0 . 55)=200Ω L2ω 2=Z2-R2 or Lω =√2002 - 1002

Q. If $110 V$ D.C. is applied across a solenoid, a current of $1.1 A$ is produced in it. When $110 V$ A.C. is applied across the same coil, the current drops to $0.55 A$ . If the frequency of the A.C. source is $50 Hz$ , the inductance of the solenoid is

$0.60 H$

$0.55 H$

$0.50 H$

$0.45 H$

$R = \frac{110}{1.1} = 100Ω$
Impedance, $Z = \frac{110}{0.55} = 200Ω$
$L^{2} ω^{2} = Z^{2} - R^{2}$ or $L ω = 20 0^{2} - 10 0^{2}$

Q. If 110V D.C. is applied across a solenoid, a current of 1.1A is produced in it. When 110V A.C. is applied across the same coil, the current drops to 0.55A . If the frequency of the A.C. source is 50Hz , the inductance of the solenoid is

0.60H

0.55H

0.50H

0.45H