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(A) In a series $LCR$ circuit,the current $I$ is the same through all elements.The potential difference across each element is given by $V_R = I \cdot

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Resistance

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(A) In a series $LCR$ circuit,the current $I$ is the same through all elements.The potential difference across each element is given by $V_R = I \cdot R$,$V_L = I \cdot X_L$,and $V_C = I \cdot X_C$.Given: $R = 11 \, \Omega$,$X_L = 120 \, \Omega$,$X_C = 120 \, \Omega$.The total impedance $Z$ is $\sqrt{R^2 + (X_L - X_C)^2} = \sqrt{11^2 + (120 - 120)^2} = 11 \, \Omega$.The current $I = V / Z = 110 / 11 = 10 \, A$.Now,calculating potential differences:$V_R = I \cdot R = 10 	imes 11 = 110 \, V$.$V_L = I \cdot X_L = 10 	imes 120 = 1200 \, V$.$V_C = I \cdot X_C = 10 	imes 120 = 1200 \, V$.Comparing the values,$V_R = 110 \, V$ is the minimum potential difference.

$A$ circuit has three elements: a resistance of $11 \Omega$,a coil of inductive reactance $120 \Omega$,and a capacitive reactance of $120 \Omega$ in series,connected to an $A.C.$ source of $110 \, V, 60 \, Hz$. Which of the three elements has the minimum potential difference?

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