In the adjacent shown circuit, a voltmeter of internal resistance R , when connected across B and C reads 100 3 V. Neglecting the internal resistance of the battery, the value of R is

Step-by-step solution

Internal resistance of voltmeter is R . Therefore effective resistance across B and C, R^ is given by aligned 1 R^ & = 1 R + 1 50 & = 50+R 50 R aligned or R^ = ( 50 R 50+R ) According to Ohm's law aligned V^ & =I R^ or 100 3 & =I ( 50 R 50+R ) aligned Now, total resistance of circuit aligned R^ & =50+ 50 R 50+R or R^ & = (2500+100 R) (50+R) aligned array ll Now, & V^ =I R^ & 100= 100 3 ( 50+R 50 R ) 2500+100 R (50+R) array array rlrl or & 150 R =2500+100 R or &50 R =2500 or & R=50 k array