Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle

When a charged particle moving with velocity $$\overrightarrow v $$ is subjected to a magnetic field of induction $$\overrightarrow B $$, the force on it is non-zero. This implies that

Two circular coils 1 and 2 are made from the same wire but the radius of the 1^st coil is twice that of the 2^nd coil. What is the ratio of potential difference in volts should be applied across them so that the magnetic field at their centres is the same?

A very long straight wire carries a current $$I$$. At the instant when a charge +Q at point P has velocity $$\overrightarrow v $$, as shown, the force on the charge is