Force on Current Carrying Conductor — Prelims Questions

A straight conductor of length $0.5\,\text{m}$ carries a current of $2\,\text{A}$. It is placed in a uniform magnetic field of $0.4\,\text{T}$. If the conductor is oriented at an angle of $30^\circ$ with respect to the magnetic field, what is the magnitude of the magnetic force experienced by the conductor?

A long straight wire carries a current vertically upwards. A uniform magnetic field is directed horizontally towards the North. What is the direction of the force experienced by the wire?

Two long parallel wires are placed $10\,\text{cm}$ apart. They carry currents of $5\,\text{A}$ and $10\,\text{A}$ respectively in the same direction. What is the magnitude of the force per unit length between them? (Given $\mu_0 = 4\pi \times 10^{-7}\,\text{T\cdot m/A}$)

A conductor of length $L$ carrying current $I$ is placed in a uniform magnetic field $B$. If the force on the conductor is zero, which of the following statements must be true?

A horizontal wire of length $0.1\,\text{m}$ carries a current of $10\,\text{A}$ from East to West. It is placed in a uniform magnetic field of $0.1\,\text{T}$ acting vertically downwards. What is the magnitude and direction of the force on the wire?

Which of the following statements is INCORRECT regarding the force on a current-carrying conductor in a magnetic field?