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Question

For the figure shown below, find the value of conductance 'G' (in S).

The correct answer is
0.33

To find the conductance 'G' in Siemens (S), we need to first understand the relationship between current, voltage, and conductance.

Conductance (G) is the reciprocal of resistance (R), and is given by the formula:

G = \frac{1}{R}

Ohm's law states that:

V = I \times R

Where:

  • V is the voltage across the conductor
  • I is the current through the conductor
  • R is the resistance of the conductor

From the figure, we know:

  • Voltage, V = 6 \, \text{V}
  • Current, I = 2 \, \text{A}

We can rearrange Ohm's law to solve for resistance R:

R = \frac{V}{I} = \frac{6 \, \text{V}}{2 \, \text{A}} = 3 \, \Omega

Now, calculate the conductance G:

G = \frac{1}{R} = \frac{1}{3 \, \Omega} = 0.33 \, \text{S}

Therefore, the value of conductance 'G' is 0.33 S.

Circuit Diagram

The correct answer is 0.33.

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Important Questions from Series and Parallel Connection of Resistance

  1. How much resistance must be connected in parallel with a 360 Ω resistor to obtain an equivalent resistance Req of 120 Ω?

  2. If n identical resistance, each of resistance R, are connected in parallel, the equivalent resistance is:

  3. What is the value of equivalent resistance if the resistor 10 Ω is parallel to 20 Ω?
  4. Three resisters of 3 ohm, 10 ohm and 15 ohm are connected in parallel in a 30 V circuit. The current will that flow through the 3­-ohm resistor is:

  5. In which combination, the electrical appliances are connected at home?
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