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In a circuit, an inductor (L), capacito...

In a circuit, an inductor (L), capacitor (C) and resistor (R) are connected in parallel across a source of emf given by `epsilon=epsilon_(0) sin omega t`. Find the current through the mains and draw a phasor diagram.

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To solve the problem of finding the current through the mains in a parallel LCR circuit and drawing the corresponding phasor diagram, we will follow these steps: ### Step 1: Understand the Circuit In the given circuit, we have an inductor (L), a capacitor (C), and a resistor (R) connected in parallel across an alternating current source with voltage \( \epsilon = \epsilon_0 \sin(\omega t) \). The voltage across each component is the same and equal to the source voltage \( \epsilon \). ### Step 2: Write the Voltage Across Each Component The voltage across the inductor (V_L), capacitor (V_C), and resistor (V_R) is given by: - \( V_L = \epsilon \) ...
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