In fig., the potential difference between A and B is

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15V

10V

answer is C.

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Detailed Solution

To analyze the circuit and calculate the potential difference between A and B, let's observe the figure carefully. It is evident that the diode in the circuit is in forward bias. A forward-biased diode offers low resistance to the flow of current. For simplicity, we assume that the resistance of the diode is approximately zero in this ideal scenario.

The total resistance across points A and B in the circuit is given as 5 Ω. Using Ohm's Law, we can calculate the current flowing through the circuit.

The total current in the circuit can be expressed as:

I = V / (R_total)

Substituting the given values:

I = 30V / (10 kΩ + 5 kΩ)

Converting the resistance values to ohms:

I = 30V / (10,000 Ω + 5,000 Ω) = 30V / 15,000 Ω = 2 mA

Now, the potential difference between A and B is calculated as:

Potential difference between A and B = Current × Resistance across AB

Substituting the values:

Potential difference between A and B = 2 mA × 5 kΩ

Converting the resistance value to ohms and solving:

Potential difference between A and B = 0.002 A × 5000 Ω = 10 V