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Question

The instantaneous potential difference between points A and B is :


A
8sin(50πt+37π180)
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B
8sin(50πt37π180)
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C
10sin(50πt)
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D
10cos(50πt)
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Solution

The correct option is B 8sin(50πt37π180)

Impedance of the given LCR circuit,

Z=(XLXC)2+R2

Z=(82)2+82=10 Ω

Phase angle,

ϕ=tan1(|XLXC|R)=tan1(34)=37

As XL>XC, voltage leads the current by 37.

So, current passing through the resistor,

i=10sin(50πt37)10=sin(50πt37)

The potential difference between A and B is,

VAB=i×R=8sin(50πt37)=8sin(50πt37π180)

Hence, option (B) is the correct answer.

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