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In a series LCR circuit, the voltage acr...

In a series LCR circuit, the voltage across the resistance, capacitance and inductance is 10 V each. If the capacitance is short circuited, the voltage across the inductance will be

Text Solution

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`V_(R) = V_(L) = V_(C ) , R = X_(L) = X_(C )`
`Z = R, V = IR = 10` volt
When capacitor is short circuited
`Z = sqrt(R^(2) + X_(L)^(2)) = sqrt(R^(2) + R^(2)) = R sqrt(2)`
New current, `I' = V//Z = (V)/(R sqrt(2)) = (10)/(R sqrt(2))`
Potential drop across inductance
`=I' X_(L) = I' R = (10 xx R)/(R sqrt(2)) = (10)/(sqrt(2))` volt
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