Question

A parallel combination of two capacitors of capacities ‘C’ and ‘`C/3`’ respectively is connected across a battery of 12 volt. When both capacitors are fully charged, the charge and energy stored in them is Q₁, Q₂ and E₁, E₂ respectively. Then the ratio of (E₁ − E₂) to (Q₁ − Q₂) is ______.

पर्याय

• 1 : 8

• 1 : 6

• 8 : 1

• 6 : 1

Answer 1

A parallel combination of two capacitors of capacities ‘C’ and ‘`C/3`’ respectively is connected across a battery of 12 volt. When both capacitors are fully charged, the charge and energy stored in them is Q₁, Q₂ and E₁, E₂ respectively. Then the ratio of (E₁ − E₂) to (Q₁ − Q₂) is 6 : 1.

Explanation:

Q = CV

∴ Q₁ = 12C and Q₂ = 4C

Also, E = `1/2 C_1 V^2`

= `1/2 xx C xx 144`

= 24 C

∴ `(E_1 - E_2)/(Q_1 - Q_2) = (48 C)/(8 C)`

= `6/1`