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Electric Charges And Fields

Question
CBSEENPH12039137

An ammeter of resistance 0.80 can measure current upto 1.0A. 

(i) What must be the value of shunt resistance to enable the ammeter to measure current upto 5.0A?

(ii) What is the combined resistance of the ammeter and the shunt?   

Solution

Given, Resistance, R = 0.80

Maximum current, Imax = 1 A

So, Voltage across ammeter, V = IR = 1.0 0.80 = 0.8 V

i) If a shunt is connected in parallel,

Current I flowing through S is (I – I1)

For parallel combination of resistors, 
I1. RA = ((I – I1) S
Error converting from MathML to accessible text. 
This is the required value of shunt resistance. 

ii) Combined resistance of the ammeter and the shunt, 
1 over straight R space equals space 1 over R subscript A plus 1 over S

Error converting from MathML to accessible text.