Consider two identical galvanometers and two identical resistors with resistance R. If the...
Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers Rc<R2, which of the following statement(s) about any one of the galvanometers
is(are) true ?
is(are) true ?
Solution:

i=E2R+2Rc Vg1=iRc=ERc2(R+Rc)=ERc2R+2Rc

i2=E2R+Rc2 Vg2=i22×Rc
=12(E2R+Rc2)×Rc
Vg2=ERc4R+Rc ....(2)
Since Rc<R2 (2Rc<R)
2R+2Rc<3R
Vg1>Vg2

iA=ERc

Here i=E(2R+2Rc)2R.2Rc=E(R+Rc)2RRc
iB=2R2R+2Rc×E(R+Rc)2RRc=E2Rc
iA>iB

i=E2R+2Rc Vg1=iRc=ERc2(R+Rc)=ERc2R+2Rc

i2=E2R+Rc2 Vg2=i22×Rc
=12(E2R+Rc2)×Rc
Vg2=ERc4R+Rc ....(2)
Since Rc<R2 (2Rc<R)
2R+2Rc<3R
Vg1>Vg2

iA=ERc

Here i=E(2R+2Rc)2R.2Rc=E(R+Rc)2RRc
iB=2R2R+2Rc×E(R+Rc)2RRc=E2Rc
iA>iB
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