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
a) To identify the type of transformer, we compare the number of turns in the primary and secondary coils. Step 1: Compare the number of turns. Given N_p = 200 turns and N_s = 300 turns. Since N_s > N_p (300 turns > 200 turns), the transformer increases the voltage from the primary to the secondary. Therefore, it is a step-up transformer. b) To calculate the voltage on the primary coil, we use the transformer turns ratio formula. Step 1: State the transformer voltage and turns ratio formula. (V_p)/(V_s) = (N_p)/(N_s) Step 2: Substitute the given values into the formula. We have N_p = 200 turns, N_s = 300 turns, and V_s = 100 V. (V_p)/(100 V) = (200)/(300) Step 3: Solve for V_p. V_p = 100 V × (200)/(300) V_p = 100 V × (2)/(3) V_p = (200)/(3) V V_p ≈ 66.67 V The voltage on the primary coil is 66.67 V. c) To find the current in the secondary coil, we assume an ideal transformer where the power in the primary coil equals the power in the secondary coil. Step 1: State the power relationship for an ideal transformer. V_p I_p = V_s I_s Step 2: Substitute the known values into the equation. We have V_p = 66.67 V (from part b), I_p = 5 A, and V_s = 100 V. (66.67 V)(5 A) = (100 V) I_s Step 3: Solve for I_s. I_s = (66.67 V)(5 A)100 V I_s = 333.35 VA100 V I_s = 3.3335 A The current in the secondary coil is 3.33 A. Send me the next one 📸