Question 219: AC fundamentals

Question

A circuit connected to an ac source of emf
e = e0sin(100t) with t in seconds, gives a phase
difference of $$\pi $$/4 between the emf e and
current i. Which of the following circuits will
exhibit this ?

Accepted Answer

Given phase difference = $${\pi  \over 4}$$ and $$\omega $$ = 100 rad/s
$$ \Rightarrow $$ Reactance (X) = Resistance (R)
Now by checking option.
Option (A)
R = 1000 $$\Omega $$ and X
c
= $${1 \over {{{10}^{ - 6}} 	imes 100}} = {10^4}\Omega $$
Option (B)
R = 10
3
$$\Omega $$ and X
L
= $${10^{ - 3}} 	imes 100 = 10^{-1} \Omega $$
Option (C)
R = 10
3
$$\Omega $$ and X
c
= $${1 \over {{10 	imes {10}^{ - 6}} 	imes 100}} = {10^3}\Omega $$
Option (D)
R = 10
3
$$\Omega $$ and X
L
= $$10 	imes {10^{ - 3}} 	imes 100 = 1\Omega $$

Answer

RC circuit with R = 1 k$$\Omega $$ and C = 1μF

Answer

RL circuit with R = 1k$$\Omega $$ and L = 1mH

Answer

RC circuit with R = 1k$$\Omega $$ and C = 10 μF

Answer

RL circuit with R = 1 k$$\Omega $$ and L = 10 mH

AC fundamentals

A circuit connected to an ac source of emf e = e0sin(100t) with t in seconds, gives a phase difference of $\pi $/4 between the emf e and current i. Which of the following circuits will exhibit this ?

Choose the correct answer: