A capacitor connected to a 10 V battery collects a charge of 40 μ C with air as dielectric and 100 μ C with a given oil as dielectric. The dielectric constant of the oil is

Question

A capacitor connected to a 10 V battery collects a charge of 40 μ C with air as dielectric and 100 μ C with a given oil as dielectric. The dielectric constant of the oil is (A) 1.5 (B) 2.0 (C) 2.5 (D) 3.0

Tardigrade Admin · Accepted Answer

q=C V, As V is constant, therefore q propto C. Here, C becomes (100/40)=2.5 times ∴ K=2.5

Q. A capacitor connected to a $10 V$ battery collects a charge of $40 μ C$ with air as dielectric and $100 μ C$ with a given oil as dielectric. The dielectric constant of the oil is

$1.5$

$2.0$

$2.5$

$3.0$

$q = C V$ , As $V$ is constant, therefore $q \propto C$ .
Here, $C$ becomes $\frac{100}{40} = 2.5$ times
$∴ K = 2.5$

Q. A capacitor connected to a 10V battery collects a charge of 40μC with air as dielectric and 100μC with a given oil as dielectric. The dielectric constant of the oil is

1.5

2.0

2.5

3.0