The ammeter has a resistance of 01 ohm It is used to measure

The ammeter has a resistance of 0.1 ohm. It is used to measure the current i_0 in the circuit in the figure. What is the percentage of error in the measured value? Use the following definition: % error = (measured value/true value - 1) times 100 Express your answer using two significant figures. % error = %

Solution

true value of io= 0.05*(15/(15+45)) = 0.0125

measured value=> 0.1ohms is placed shunt to the ammeter and is parallel to 15ohms

                       Req=15*0.1/(15+0.1)=0.0993ohms

measured value= 0.05*(0.0993/(0.0993+45)) =1.1*10^-4

error= (1.1*10^-4/0.0125)-1 =-0.99119

i.e, -99.119% error