Two conductors identical in shape and size but one of copper and the other of aluminium (which is less conducting), are both placed in an identical electric field. In which metal will more charge be induced?

Question

Two conductors identical in shape and size but one of copper and the other of aluminium (which is less conducting), are both placed in an identical electric field. In which metal will more charge be induced? (A) Copper (B) Aluminium (C) Same in both metals (D) No charge is induced

Tardigrade Admin · Accepted Answer

In case of induction maximum induced charge is given by

q = - q [1 - \frac{1}{k}]

Since, in electrostatics, for metals (either copper or aluminium)

k = \infty, q^{^{'}} = - q

, i.e.
in both the metals induced charge will be same.

Q. Two conductors identical in shape and size but one of copper and the other of aluminium (which is less conducting), are both placed in an identical electric field. In which metal will more charge be induced?

Copper

Aluminium

Same in both metals

No charge is induced

In case of induction maximum induced charge is given by q=−q[1−k1​] Since, in electrostatics, for metals (either copper or aluminium) k=∞,q′=−q, i.e. in both the metals induced charge will be same.

In case of induction maximum induced charge is given by
$q = - q [1 - \frac{1}{k}]$
Since, in electrostatics, for metals (either copper or aluminium)
$k = \infty, q^{^{'}} = - q$ , i.e.
in both the metals induced charge will be same.