Question

A potential difference of 20v is applied across a conductance of 8mho. The current in the conductor is?

Answer 1

As we know that,
V = IR
=>I = V/R
$= > I = \frac{20}{8} = 2.5A.$




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Answer 2

Given:

Potential difference $=20V$

Conductance $=8mho$

To find:

The current in the conductor.

Solution:

Step 1

Conductance is the ease with which electrons move smoothly and unhindered on their path.

Mathematically, Conductance is the inverse of resistance.

                                 $R=\frac{1}{C}$

An object having a high resistance will have low conductance, example - rubber. Similarly, an object having low resistance will have low resistance, example - metals.

According to the question, we have $C=8mho$ . Hence,

$R=\frac{1}{8}$

$R=0.125$ Ω

Step 2

Now,

Ohm's law states that the current flowing through a conductor is directly proportional to the potential difference applied across its ends, provided the temperature of the surroundings remain the same.

                                    $V$ ∝ $I$

                                   $V=RI$

According to the question, we have,

$V=20V$      $;$  $R=0.125$Ω

$20=0.125I$

$I=\frac{20}{0.125}$

$I=160A$

Final answer:

Hence, the current flowing through the conductor is 160 A.