Question

a potential difference of 10V is applied across a conductor of conductance 5Ω^-1. The current through the conductor is :
1. 25A
2. 60A
3. 50A
4. 30A

Answer 1

Correct Answer - Option 3 : 50A

Concept:

• Electrical conductance (K): The reciprocal of electrical resistance is called conductance.
  •  It is a measure of how easily current can flow through a material.
  • Its SI unit is Siemens.

Electrical conductance (K) = 1/R 

• Electrical resistance (R): The electrical resistance of a material refers to its opposition to the flow of current.
  • Its SI unit is Ohm (Ω). 

Calculations:

Given that, v = 10 V, K = 5Ω^-1

As we know the electrical conductance (K) is given by

K = 1/R....(i)

And by ohms law, we have V = IR, i.e, R = V/I

Substituting the value of R in equation (i)

\( K = \frac{I}{V}\ \)

So, K × V = I

I =  5 × 10 = 50 Ampere

The current through the conductor is 50 A.