Question

Numericals:
1. In transferring 1.5 C charge through a wire, 9 J of
work is needed. Find the potential difference across
the wire.
​

Answer 1

Answer:

Explanation:

ANSWER:-

Given:-

• Charge - 1.5 C
• Work done - 9 J

To find:-

Voltage

Let's Do!

We need to know that:-

$\boxed{\sf{Voltage = \dfrac{Work \ done}{Charge}}}$

$\boxed{\sf{Voltage = \dfrac{9 \ J}{1.5 \ C}}}$

$\boxed{\sf{Voltage = 6 \ Volts}}$

So, the required answer is 6 volts.

Some other relations:-

• V = IR
• Where V is voltage. I is current and R is resistance.
• $\sf{H = I^2 R T}$ where H is energy or heat, and T is time.

Note that-

• SI Unit of voltage is volts.
• SI Unit of time is second
• SI unit of Work is joules
• Coulomb is the SI unit of charge
• Voltage and Potential difference are same.

Answer 2

Answer:

Given :-

• Charge - 1.5 C
• Work done - 9 J

To Find :-

Potential difference

SoluTion :-

As we know that

$\bf Voltage = \dfrac{ Work Done}{Charge}$

Voltage = 9/1.5

Voltage = 6 Volts

Therefore :-

Potential difference across the wire is 6 Volts

Extra Shots :-

• SI unit of Potential difference is Volts.
• SI unit of Work is Joule.
• 1000 Joule = 1 Kilojoule