Moving Charges ...

A proton of charge $$e$$ moving at speed $$v_0$$ is placed midway between two parallel wires a distance $$a$$ apart, each carrying current II in opposite directions.
The force on the proton is:

A cart with frictionless wheels and an attached loop of wire moves at constant velocity into a magnetic field that is perpendicular to the cart as shown.
Which of the following will occur?

Pick out the WRONG statement.

A proton beam enters a magnetic field of $$10^{-4}Wb\ m^{-2}$$ normally. If the specific charge of the proton is $$10^{11}C\ kg^{-1}$$ and its velocity is $$10^{9}\ ms^{-1}$$, then the radius of the circle described will be

The Biot Savart's Law in vector form is

An electron enters an electric field having intensity $$\vec { E } =3\hat { i } +6\hat { j } +2\hat { k } $$ $$V{m}^{-1}$$ and magnetic field having induction $$\vec { B } =2\hat { i } +3\hat { j } T$$ with a velocity $$\vec { V } =2\vec { i } +3\vec { j } $$ $${ms}^{-1}$$. The magnitude of the force acting on the electron is (Given $$e=-1.6\times {10}^{-19}C$$)

A metallic ring of radius $$a$$ and resistance $$R$$ is held fixed with its axis along a spatially uniform magnetic field whose magnitude is $$B_{0}\sin (\omega t)$$. Neglect gravity. Then;

A circular coil of $$200$$ turns and radius $$10 cm$$ is placed in an uniform magnetic field of $$0.1 T$$ normal to the plane of the coil. The coil carries a current of $$5 A$$. The coil is made up of copper wire of cross-sectional area $${10}^{-5}{m}^{2}$$ and the number of free electrons per unit volume of copper is $${10}^{29}$$. The average force experienced by an electron in the coil due to magnetic field is

A horizontal overhead power line carries a current of 90A in east to west direction. Magnitude of magnetic field due to the current 1.5 m below the line is :

 If flow of electric current is parallel to magnetic field, force will be: