200V A.C. is applied at the ends of an LCR circuit. The circuit consists of an inductive reactance `X_(L) = 50Omega` capacitive reactance `X_(c) = 50 Ω` ` and ohmic resistance R = 10 Ω . Calculate the impedance of the circuit and also potential differences across L and R What will be the potential difference across L-C

Explanation

To solve the problem step by step, we will calculate the impedance of the LCR circuit, the potential differences across the inductor (L) and resistor (R), and the potential difference across the LC combination.

### Step 1: Calculate the Impedance (Z) of the Circuit
The impedance of an LCR circuit is given by the formula:
\[ Z = \sqrt{R^2 + (X_L - X_C)^2} \]
Where:
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