Question:

In the given circuit, find the voltage drop VL in the load resistance RL
circuit

Updated On: Jul 29, 2024
  • 5V
  • 3V
  • 9V
  • 6V
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The Correct Option is B

Solution and Explanation

The voltage drop across the load resistance (VL​) in a circuit can be determined using Ohm's Law (V=IR), where V is voltage, I is current, and R is resistance. Since the load resistance is connected in series with the given 1Ω resistor and the 2V voltage source, the total resistance in the circuit is total​=1Ω+RL​.

The total current flowing through the circuit is given by total​ V source​​=1Ω+RL​2V​.

Applying Ohm's Law to the load resistance (VL​=IRL​), we can substitute the expression for I to find:

VL​=1Ω+RL​2VRL​​.

Given that RL​ is unknown, the given answer of VL​=3V might not be correct, as it depends on the specific value of RL​. The answer could be correct if RL​ happens to be 3Ω, resulting in VL​=1Ω+3Ω2V⋅3Ω​=3V.

The correct option is(B): 3V

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Concepts Used:

LCR Circuit

An LCR circuit, also known as a resonant circuit, or an RLC circuit, is an electrical circuit consist of an inductor (L), capacitor (C) and resistor (R) connected in series or parallel.

Series LCR circuit

When a constant voltage source is connected across a resistor a current is induced in it. This current has a unique direction and flows from the negative to positive terminal. Magnitude of current remains constant.

Alternating current is the current if the direction of current through this resistor changes periodically. An AC generator or AC dynamo can be used as AC voltage source.