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NEET PHYSICSMedium

A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6A, the voltage across the secondary coil and the current in the primary coil respectively are:

A

300 V, 15 A

B

450 V, 15 A

C

450 V, 13.5 A

D

600 V, 15 A

Step-by-Step Solution

  1. Primary Current (IpI_p): The input power (PinP_{in}) is given by Pin=VpIpP_{in} = V_p I_p. Given Pin=3000P_{in} = 3000 W and Vp=200V_p = 200 V, we calculate Ip=Pin/Vp=3000/200=15I_p = P_{in} / V_p = 3000 / 200 = 15 A .
  2. Secondary Voltage (VsV_s): The efficiency (η\eta) is defined as the ratio of output power to input power: η=Pout/Pin\eta = P_{out} / P_{in}. Given η=90%=0.9\eta = 90\% = 0.9, the output power is Pout=0.9×3000=2700P_{out} = 0.9 \times 3000 = 2700 W.
  3. Since Pout=VsIsP_{out} = V_s I_s and Is=6I_s = 6 A, we have 2700=Vs×62700 = V_s \times 6, which gives Vs=2700/6=450V_s = 2700 / 6 = 450 V. Thus, Vs=450V_s = 450 V and Ip=15I_p = 15 A.
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