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NEET PHYSICSEasy

A step-down transformer connected to an AC mains supply of 220 V is made to operate at 11 V, 44 W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?

A

2 A

B

4 A

C

0.2 A

D

0.4 A

Step-by-Step Solution

For an ideal transformer where power losses are ignored, the power in the primary circuit (PpP_p) is equal to the power in the secondary circuit (PsP_s) . The power consumed by the lamp in the secondary circuit is given as 44 W. Therefore, Pp=VpIp=44P_p = V_p I_p = 44 W. Given the primary voltage (VpV_p) is 220 V, the primary current (IpI_p) can be calculated as: Ip=PsVp=44 W220 V=0.2I_p = \frac{P_s}{V_p} = \frac{44 \text{ W}}{220 \text{ V}} = 0.2 A.

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