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Question

Determine the power dissipated (in W) by the 6 ohms resistor in the circuit given below.

The correct answer is
0

To determine the power dissipated by the 6 ohms resistor, we first need to analyze the circuit. The circuit has two current sources: 2A and 6A. These two sources are connected in different branches of the circuit.

Let's analyze the circuit:

  1. The 2A current source flows through the 3 ohms resistor.
  2. The 6A current source flows through the 1 ohm resistor.
  3. Both sources are equal and opposite regarding the 6 ohms resistor. Thus, they do not contribute to any current through this resistor.

To calculate the power dissipated across the 6 ohms resistor, we use the formula:

\(P = I^2 \times R\), where \(I\) is the current through the resistor and \(R\) is the resistance.

Since no current flows through the 6 ohms resistor due to the balancing effect of the two current sources, the current \(I = 0 \, \text{A}\).

Thus, the power dissipated is:

\(P = 0^2 \times 6 = 0 \, \text{W}\).

Therefore, the correct answer is 0 W.

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Important Questions from Kirchhoff's Laws

  1. Kirchhoff's current law is based on the conservation of

  2. Kirchhoff's law will fail in case of -

  3. The dual pair of the node and open circuit are ____________

  4. In case of circuit laws, the currents flowing in various conductors in an electrical circuit are calculated by applying ________.

  5. According to Kirchhoff Voltage Law, the algebric sum of all voltage drop and e.m.f. in any closed circuit in a network is equal to -

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