This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Another one Lizzy — let's solve it. The force F on a current-carrying wire in a magnetic field is given by the formula: F = BIL where B is the magnetic flux density, I is the current, L is the length of the wire, and is the angle between the direction of the current and the magnetic field. Given values: I = 5 \, A L = 2 \, m B = 0.3 \, T Step 1: Calculate the force when the wire is placed at a right angle to the field. In this case, = 90^. (90^) = 1 Substitute the values into the formula: F = (0.3 \, T)(5 \, A)(2 \, m) (90^) F = (0.3 × 5 × 2 × 1) \, N F = 3 \, N The force on the wire at a right angle to the field is 3 N. Step 2: Calculate the force when the wire is placed at 35^ to the field. In this case, = 35^. Substitute the values into the formula: F = (0.3 \, T)(5 \, A)(2 \, m) (35^) F = (3 \, N) (35^) F ≈ 3 × 0.5736 \, N F ≈ 1.7208 \, N Rounding to two decimal places, the force on the wire at 35^ to the field is 1.72 N. Step 3: Calculate the force when the wire is placed along the field. In this case, the wire is parallel to the magnetic field, so = 0^. (0^) = 0 Substitute the values into the formula: F = (0.3 \, T)(5 \, A)(2 \, m) (0^) F = (3 \, N) × 0 F = 0 \, N The force on the wire along the field is 0 N. Send me the next one 📸