(a) How does doubling the charge \(q_{\mathrm{A}}\) carried by an object A affect the force exerted by \(\mathrm{A}\) on another charged particle?

(b) How does doubling \(q_{\mathrm{A}}\) affect the force exerted by \(\mathrm{A}\) on an induced dipole?

(c) Explain why your answers to parts \(a\) and \(b\) are the same or different.

(d) Can the force exerted by a charged particle cause a torque on an induced dipole?