Question

Find the potential difference between the point if 20 mj work is done in moving a charge of 100 uc across two points in an electric circuit

Answer 1

According to the Question

It is given that ,

• Work Done ,W = 20 Mj
• Charge ,q = 100uc

We have to calculate the potential difference between these points.

Firstly we change convert the unit here .

As we know that

➛ 1Mj = 10⁶ J

So,

➛ 20Mj = 20×10⁵ J

➛ 20Mj = 2×10⁷ J

Now,

converting the unit of charge into columbs.

➛ 1 uc = 10⁻⁶ C

➛ 100uc = 100 × 10⁻⁶ J

➛ 100uc = 10⁻⁴ J

Using formula we get

• V = W/q

Substitute the value we get

➛ V = 2×10⁷/10⁻⁴

➛ V = 2×10³

➛ V = 2×1000

➛ V = 2000 volts.

• Hence, the potential difference across these points are 2000 volts .

Answer 2

Answer:

Given :-

• The point of 20 MJ work is done in moving a change of 100 uc across two points in an electric circuit.

To Find :-

• What is the potential difference between the two points.

Formula Used :-

$\clubsuit$ Potential Difference Formula :

$\mapsto \sf\boxed{\bold{\pink{V =\: \dfrac{W}{Q}}}}$

where,

• V = Potential Difference
• W = Work Done
• Q = Charge

Solution :-

First, we have to change work done MJ to J :

$\implies \sf Work\: Done =\: 20\: MJ$

$\implies \sf Work\: Done =\: 20 \times 1000000\: J\: \: \small\bigg\lgroup \sf\bold{\pink{1\: MJ =\: 10^6\: or\: 1000000\: J}}\bigg\rgroup$

$\implies \sf Work\: Done =\: 20000000\: J$

$\implies \sf \bold{\purple{Work\: Done =\: 2 \times 10^7\: J}}$

Again, we have to change charge uc to C :

$\implies \sf Charge =\: 100\: uc$

$\implies \sf Charge =\: 100 \times 0.000001\: C\: \small\bigg\lgroup \sf\bold{\pink{1\: uc =\: 0.000001\: or\: 10^{- 6}\: C}}\bigg\rgroup$

$\implies \sf Charge =\: 0.0001\: C$

$\implies \sf\bold{\purple{ Charge =\: 10^{- 4}\: C}}$

Now, we have to find the potential difference :

Given :

• Work Done (W) = 2 × 10⁷ J
• Charge (Q) = 10-⁴ C

According to the question by using the formula we get,

$\longrightarrow \sf V =\: \dfrac{2 \times 10^7}{10^{- 4}}$

$\longrightarrow \sf V =\: 2 \times 10^3$

$\longrightarrow \sf\bold{\red{V =\: 2000\: V}}$

${\small{\bold{\underline{\therefore\: The\: potential\: difference\: between\: the\: points\: is\: 2000\: V\: .}}}}$