Two resistors R1 = (100 ± 3) Ω and R2 = (200 ± 4) Ω are connected in parallel. Choose the correct resistance of this parallel combination.
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
(66.7±1.8)Ω
b
(66.7±4.0)Ω
c
(66.7±3.0)Ω
d
(66.7±7.0)Ω
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Here,R1=(100±3)Ω,R2=(200±4)ΩThe equivalent resistance in parallel combination is1Rp=1R1+1R2⋅1Rp=1100+1200=3200,Rp=2003=66.7ΩThe error in equivalent resistance is given byΔRpRρ2=ΔR1R12+ΔR2R22;ΔRp=ΔR1RpR12+ΔR2RpR22=366.71002+466.72002=1.8ΩHence, the equivalent resistance along with error in parallel combination is(66.7±1.8)Ω