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
Step 1: Identify the given values and the condition for suspension. The wire is suspended, meaning the upward magnetic force (F_B) must balance the downward gravitational force (F_g). Given: Length of wire, L = 15 m Mass of wire, m = 50 g = 0.050 kg (converted to kilograms) Magnetic field strength, B = 0.50 T Angle between wire and magnetic field, = 90^ (since it's at a right angle) Acceleration due to gravity, g = 9.8 m/s^2 Step 2: Write the formulas for magnetic force and gravitational force. The magnetic force on a current-carrying wire is given by: F_B = BIL The gravitational force (weight) of the wire is given by: F_g = mg Step 3: Equate the forces and solve for the current (I). For the wire to be suspended, F_B = F_g: BIL = mg Rearrange the formula to solve for I: I = (mg)/(BL ) Step 4: Substitute the values and calculate the current. Since = 90^, = (90^) = 1. I = (0.050 kg)(9.8 m/s^2)(0.50 T)(15 m)(1) I = 0.49 N7.5 T · m I = 0.065333... A Rounding to two significant figures, based on the given values (0.50 T, 50 g): I = 0.065 A Send me the next one 📸