In a series LCR circuit the rms voltages across the inductance, capacitance and resistance are respectively 4 V, 8 V and 5 V. The RMS voltage of the AC source in the circuit is
Question
In a series LCR circuit the rms voltages across the inductance, capacitance and resistance are respectively 4 V, 8 V and 5 V. The RMS voltage of the AC source in the circuit is
Solution
The RMS voltage of the AC source in the circuit can be calculated using the formula for the total voltage in a series LCR circuit. This is given by the square root of the sum of the squares of the individual voltages across the inductance (L), capacitance (C), and resistance (R).
The formula is: V = sqrt(Vl^2 + Vc^2 + Vr^2)
Given that Vl = 4V, Vc = 8V, and Vr = 5V, we can substitute these values into the formula:
V = sqrt((4V)^2 + (8V)^2 + (5V)^2) V = sqrt((16V^2) + (64V^2) + (25V^2)) V = sqrt(105V^2) V = 10.25V
Therefore, the RMS voltage of the AC source in the circuit is 10.25V.
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