Question 265: AC fundamentals

Question

In an a.c. circuit, a resistance ' $R$ ' is connected in series with an inductance ' $L$ '. If phase angle between voltage and current is $45^{\circ}$, the value of inductive reactance will be $\left(	an 45^{\circ}=1ight)$

Accepted Answer

Step 1: Relation between phase angle and reactance
For a series $RL$ circuit, the phase angle $\phi$ between voltage and current is:
$ 	an \phi = \frac{X_L}{R} $
where $X_L = \omega L$ = inductive reactance.
Step 2: Apply the given data
$ \phi = 45^{\circ}, \quad 	an 45^\circ = 1 $
So,
$ 	an \phi = \frac{X_L}{R} = 1 $
$ \implies X_L = R $
Ã¢ÂÂ Final Answer:
The value of inductive reactance is
$R$
.
Correct Option: A (R)
Ã¢ÂÂ

Answer

R

Answer

$\frac{\mathrm{R}}{2}$

Answer

$\frac{\mathrm{R}}{4}$

Answer

$\frac{\mathrm{R}}{\sqrt{2}}$

AC fundamentals

In an a.c. circuit, a resistance ' R ' is connected in series with an inductance ' L '. If phase angle between voltage and current is 45^{\circ}, the value of inductive reactance will be \left(\tan 45^{\circ}=1\right)

Choose the correct answer: