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If a resistance R of 1Ω is connected across the terminals AB as shown in the given figure then the current flowing through R will be—
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- 1A
- 0·5A
- 0·25A
- 0·125A
- 1A
Correct Option: C
The given circuit
Given, RL = R = 1Ω
Equivalent circuit for calculation of Rth is shown below:
From figure, Rth = (1|| 1) + (1||1) = 1/2 + 1/2 = 1Ω
Equivalent circuit for calculation of Vth is shown below:
Applying KVL in the loop 1, we get
– I1 × 1 + 1 – I1 × 1 – 1 = 0
or
I1 = 0
Again, applying KVL in the loop 2, we get
1 – I2 × 1 – I2 × 1=0
or
I2 = 1/2 A
Now, Vth = 1 × I1 + 1 × I2 = 1 × 0 + 1 × 1/2 = 1/2 V
Now,
I2 = | Vth | = | = | = 0.25A | |||
Rth + RL | 1 + 1 | 2 |
Hence alternative (C) is the correct choice.