100 nos. of 1 Ω linear bilateral resistances with negligible inductance are connected in parallel and the combination is fed by a 10 A constant current source. The power delivered by the source is:

Explanation:

To determine the power delivered by the source when 100 resistors of 1 Ω each are connected in parallel and fed by a 10 A constant current source, we need to follow a step-by-step approach to analyze the circuit.

Understanding the Circuit:

Let's start with the given information:

• Each resistor has a resistance of 1 Ω.
• There are 100 such resistors connected in parallel.
• The combination is fed by a 10 A constant current source.

Step 1: Calculate the Equivalent Resistance

When resistors are connected in parallel, the equivalent resistance (R_eq) can be calculated using the formula:

1/R_eq = 1/R₁ + 1/R₂ + ... + 1/R_n

Since all resistors have the same resistance (R = 1 Ω), the formula simplifies to:

1/R_eq = 100/R = 100/1 = 100

Therefore:

R_eq = 1/100 = 0.01 Ω

Step 2: Calculate the Voltage Across the Equivalent Resistance

Using Ohm's Law (V = IR), where:

• I is the current through the equivalent resistance.
• R_eq is the equivalent resistance.

Given that the current source supplies 10 A:

V = I * R_eq = 10 A * 0.01 Ω = 0.1 V

Step 3: Calculate the Power Delivered by the Source

The power delivered by the source (P) can be calculated using the formula:

P = V * I

Substituting the values obtained:

P = 0.1 V * 10 A = 1 W

Conclusion:

The power delivered by the source is 1 W, which corresponds to option 3 in the given choices.

Additional Information

To further understand the analysis, let’s evaluate the other options:

Option 1: 10 W

To achieve 10 W of power delivery, given the current source of 10 A, the voltage across the equivalent resistance would have to be:

P = V * I => V = P / I = 10 W / 10 A = 1 V

However, we calculated that the voltage across the equivalent resistance is 0.1 V, not 1 V. Therefore, option 1 is incorrect.

Option 2: 100 W

For the power delivery to be 100 W, the voltage across the equivalent resistance would need to be:

P = V * I => V = P / I = 100 W / 10 A = 10 V

This is not feasible with the given parameters, as the calculated voltage was 0.1 V. Thus, option 2 is incorrect.

Option 4: 0 W

Power delivery of 0 W would imply no current is flowing or the voltage is zero. Since we have a constant current source of 10 A and a non-zero equivalent resistance, power cannot be zero. Therefore, option 4 is incorrect.

In conclusion, the correct power delivered by the source in the given circuit is 1 W, making option 3 the correct choice. Understanding the principles of parallel resistance, Ohm's Law, and power calculation is crucial for analyzing such electrical circuits accurately.