Question #228176

A battery is connected in series with a variable resistor R and an ammeter in order to form a circuit. The resistor of the ammeter may be neglected. When R is given the value 1.1ohm the current in the circuit is 4.0amp but when the R is given value 1.6ohm the current in the circuit is 3.0amp. Find the internal resistance of the battery


Expert's answer

Gives

R=1.1 ohm

I=4.0 ohm

V=iRV=4×1.1=4.4AmpE=3.0×1.6=4.8ohmV=EirV=iR\\V=4\times1.1=4.4Amp\\\\E=3.0\times1.6=4.8ohm \\V=E-ir

Put value

4.4=4.84.0×r4.4=4.8-4.0\times r

4.0r=4.84.4=0.44.0r=4.8-4.4=0.4

R=0.44=0.1ΩR=\frac{0.4}{4}=0.1\Omega

Internal resistance(r)=0.1 ohm


















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