Question

A boy records that 4000 joule of work is required to transfer 10 coulomb of charge
across a battery. The potential difference across battery is:
(A) 400 V
(B) 4 v
(C) 40000 V
(D) 1/400 V​

Answer 1

Answer:

• Charge = 10 C
• Work = 4000 J

Potential Difference :

$\longrightarrow\tt V = \dfrac{W}{q}$

• V = Potential Difference
• W = Work
• q = Charge

Plug in the known values in above formula:

$\longrightarrow\tt V = \dfrac{4000}{10}$

$\longrightarrow\bf V = 400 \: V$

Hence,potential difference across battery is (A) 400 V.

Knowledge Bullets :

•Dimensional formula of Potential Difference :

$\longrightarrow\:\bf [V] = [M^{1} L^{2} T^{-3}A^{ - 1} ]$

•S.I unit of potential difference is Volt (V).

• Potential Difference is scalar a quantity.