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A 4×10^(-6)F capacitor is charged to 120...

A `4×10^(-6)F` capacitor is charged to 120V, the charge in the capacitor would be?
a) 480C
b) 480microC
c) 30C
d) 30microC

Text Solution

Verified by Experts

The correct Answer is:
100 unit at `45^@` with x axis
x coponents of `vecA=100 cos 45^@ =100/sqrt(2)unit`
x component of `vecB cos 135^@= - 100/sqrt(2)`
x component of `vecC=100 cos 315^@, =100 cos 45^@ = 100/sqrt(2)`
Resultant x component, `=100/(sqrt/)-100/sqrt(2)+100/sqrt(2)=100/sqrt(2)`

Now, y component of `vecA=100 sin 45^@=100/sqrt(2)`
y component of `vecB=100 sin 135^@=100/sqrt(2)`
y component of `vecC=100 sin 135^@=100/sqrt(2),` Resultant y component, `=100/sqrt(2)+100/sqrt(2)-100/sqrt(2)`
`=100/sqrt(2), Resultant= sqrt((100/sqrt(2))^+(100/sqrt(2))^2)`
`sqt(1000)=100`, `tan alpha =(ycomp)/(xcomp)
(100sqrt(2))/(100(sqrt(2))=1`
` rarr alpha=tan^-1(1)=45^@ The resultant is 100 unit at 45^@ with x axis.`
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