If the voltmeter reads 0.2 V and the ammeter reads 0.101A, the resistance of the voltmeter is (in ohm) 2 A
A

 

Asked by Prithvee | 4th Jun, 2020, 07:04: PM

Expert Answer:

L e t apostrophe s space c o n s i d e r space c u r r e n t space i n space 2 capital omega space r e s i s t o r space i s space I subscript 0 space space a n d space t h a t space f l o w i n g space t h r o u g h space v o l t m e t e r space i s space I subscript 1
L e t space t h e space r e s i s tan c e space o f space v o l t m e t e r space b e space x

R e a d i n g space o n space v o l t m e t e r space equals space 0.2 space V space
B y space O h m apostrophe s space l a w comma space
rightwards double arrow 0.2 space V space equals space space I subscript 0 space cross times 2 space... space left parenthesis v o l t m e t e r space i s space c o n n e c t e d space i n space p a r a l l e l space t o space t h e space r e s i s t o r right parenthesis thin space
I space equals space 0.1 space A space
I space equals space I subscript 1 space plus thin space I subscript 0
therefore I subscript 1 space equals space 0.101 space minus 0.1 space equals space 0.001
T h u s comma space t h e space c u r r e n t space i s space d i v i d e d space i n space r a t i o space o f space 2 colon x space b e t w e e n space v o l t m e t e r space a n d space r e s i s t o r
T h u s comma
I subscript 1 space space equals space I space cross times fraction numerator 2 over denominator 2 plus x end fraction space
0.001 equals space 0.101 cross times open parentheses fraction numerator 2 over denominator 2 plus x end fraction close parentheses space
1 over 101 space equals space fraction numerator 2 over denominator 2 plus x end fraction
rightwards double arrow x space space equals space 200 space capital omega

Answered by Shiwani Sawant | 4th Jun, 2020, 10:10: PM