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
Here are the given values: Input Voltage, V_p = 400 kV Output Voltage, V_s = 100 kV Number of turns in the input, N_p = 5000 turns (assuming "out puts" is a typo for input, as output turns are requested) Current in the output, I_s = 20 A i) Number of turns in the output Step 1: Use the transformer turns ratio formula. The relationship between voltage and turns in an ideal transformer is given by: (V_p)/(V_s) = (N_p)/(N_s) Rearrange the formula to solve for N_s: N_s = N_p ( (V_s)/(V_p) ) Step 2: Substitute the given values and calculate N_s. N_s = 5000 turns × ( 100 kV400 kV ) N_s = 5000 turns × ( (1)/(4) ) N_s = 1250 turns The number of turns in the output is 1250 turns. ii) The current in the input Step 3: Use the transformer voltage and current ratio formula. For an ideal transformer, the power in the primary coil equals the power in the secondary coil (V_p I_p = V_s I_s). This leads to the relationship: (V_p)/(V_s) = (I_s)/(I_p) Rearrange the formula to solve for I_p: I_p = I_s ( (V_s)/(V_p) ) Step 4: Substitute the given values and calculate I_p. I_p = 20 A × ( 100 kV400 kV ) I_p = 20 A × ( (1)/(4) ) I_p = 5 A The current in the input is 5 A. Send me the next one 📸