Calculate the magnitude of the magnetic force exerted on a wire that is \(20 \mathrm{~mm}\) long and carries a current of \(4.0 \mathrm{~A}\) when it is suspended inside a solenoid at an angle of \(45^{\circ}\) to the magnetic field. The solenoid has 700 turns per meter of length and carries a current of \(3.0 \mathrm{~A}\).