Consider a series LCR circuit connected to an AC supply of 220V. If voltage drop across resistance R is `V_R,` voltage drop across capacitor is `V_c =2V_R` and that across inudctor coil is `V_L = 2V_R` then choose correct alternative(s)

Options

A. `V_(R)=220sqrt(2)`
B. Power factor of circuit is `1/(sqrt(2))`
C. `V_(R)=156 V`
D. Phase difference between current and source voltage is `(pi)/4`

Explanation

To solve the problem, we need to analyze the voltage drops in a series LCR circuit connected to an AC supply. Given the following:

1. Voltage drop across resistance \( R \) is \( V_R \).
2. Voltage drop across the capacitor \( C \) is \( V_C = 2V_R \).
3. Voltage drop across the inductor \( L \) is \( V_L = 2V_R \).
4. The total supply voltage is \( V_{supply} = 220V \).

### Step-by-Step Solution:
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