Question

In a uniform electric field, a charge of 3C experinces
a force of 3000 N. The potential difference between two points
1 cm apart along the electric lines of force will be
a) 10V
b) 3 V
c) O.l V
d) 20 V​

Answer 1

Given

• Charge = 3C
• Force = 3000 N
• Distance = 1 cm

To Find

• Voltage accross the circuit

Solution

● Work = Force × Distance

● Voltage = Work/Charge

✭ Work Done :

→ Work = Force × Distance

• Force = 3000 N
• Distance = 1/100 = 0.01 m

→ Work = 3000 × 0.01

→ Work = 30 J

✭ Potential Difference :

→ Voltage = Work/Charge

→ Voltage = 30/3

→ Voltage = 10 V

∴ The answer to the Question is Option A

Answer 2

Answer:

Given :-

• In a uniform electric field, a charge of 3 C experience a force of 3000 N.
• The potential difference between two points is 1 cm.

To Find :-

• How much voltage across from the circuit.

Formula Used :-

❶ First we have to find work done,

❖ Work Done = Force × Distance ❖

❷ To find voltage across from the circuit,

✦ Voltage = Work ÷ Charge ✦

Solution :-

❶ To find work done,

Given :

• Force = 3000 N
• Distance = 1 cm

First, change cm to m,

⇴ 1 cm

⇴ 1 ÷ 100

➯ 0.01 m

According to the question by using the formula we get,

⇒ Work Done = 3000 × 0.01

➠ Work Done = 30 J

❷ Now we have to find voltage across from the circuit,

We get,

• Work done = 30
• Charge = 3 C

According to the question by using the formula we get

↦ Voltage = 30 ÷ 3

➥ Voltage = 10 V

∴ The voltage across from the circuit is 10 V .

Hence, correct options is option no (a) 10 V .