Question

If 30V is applied to a resistor of resistance 5k ohm.what is the current conductance and power absorbed by the resistor​

Answer 1

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Answer 2

Given:

A 30V source is applied across a $R=5$kΩ.

To Find:

• The current in the circuit.

• The conductance of the circuit.

• The power absorbed by the resistor.

Solution:

30V source is applied across the 5kΩ resistor. Using Ohm's law

    $V=IR$ ,          where $V$ is the voltage across $R$ and $I$ is the current.

⇒ $I=\frac{V}{R}$

⇒ $I=\frac{30}{5000}$

⇒ $I=6mA$

We know that the conductance $G$ is the reciprocal of the resistance,

∴  $G=\frac{1}{R}$

⇒ $G=\frac{1}{5000}$

⇒ $G=0.2m$Ω$^-^1$.

We can now calculate the power absorbed by the circuit using the relation

   $P=VI$

⇒ $P=30V*5mA=150mW$.

Hence, the current in the circuit is 6mA, the conductance of the circuit is 0.2m mho and the power absorbed by the resistor is 150mW.