Two resistors ,6 ohm and R ohm are connected in series across an AC source of 5V.Th e potential difference across 6 ohm resistor is 3V.If the resistor R is repalced by a pure inductor of such magnitude that the value of current remains the same,then what is the voltage across the inductor?

Asked by Malavika Umesh | 1st Oct, 2014, 09:19: AM

Expert Answer:

begin mathsize 14px style Given : straight V equals 5 space straight V straight V subscript straight R equals 3 straight V straight R subscript 1 equals 6 straight V straight V equals IR straight I subscript straight R equals straight V over straight R equals 3 over 6 equals 0.5 space straight A Since space straight R subscript 1 space and space straight R space connected space in space series space same space current space will space space flow space from space straight R So space in space second space circuit space diagram space if space we space replace space straight R space by space Inductance space straight L comma space same space current space will space space pass space from space straight L To space get space voltage space across space straight L space we space have comma straight V squared equals straight V subscript straight R squared plus straight V subscript straight L squared straight V subscript straight L equals square root of straight V squared minus straight V subscript straight R squared end root equals square root of 5 squared minus 3 squared end root equals square root of 16 rightwards double arrow straight V subscript straight L equals 4 space straight V end style

Answered by Priyanka Kumbhar | 1st Oct, 2014, 03:35: PM