First slide

Phasors and Phasor Diagrams

Question

What is the resistance to be connected in series with a condenser of a capacity 5 $μF$ so that the phase difference between the current and the applied voltage is $45^{0}$ when the angular frequency of the applied voltage is 400 ${rads}^{- 1}$

Easy

A

$250 Ω$
B

$400 Ω$
C

$500 Ω$
D

$600 Ω$

Solution

It phase difference between voltage and current is $45^{0}$ then $X_{c}$ = R.
$\frac{1}{ωC} = R$
$\frac{1}{5 \times 10^{- 6} \times 400} = R = \frac{10^{3}}{2} = 500 Ω$

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