A capacitor of capacitance C=2.0±0.1μF is charged to a voltage V=20±0.2V. What will be the charge Q on the capacitor? Use Q=CV
40±2.4×10−6 coulomb
50±2.4×10−6 coulomb
60±2.4×10−6 coulomb
80±2.4×10−6 coulomb
A
40±2.4×10−6 coulomb
B
50±2.4×10−6 coulomb
C
60±2.4×10−6 coulomb
D
80±2.4×10−6 coulomb
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Solution
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Q=CV
C=(20±0.1)×10−6 f
V=20±0.2 v
Q First we find the Q of original values
Q=2×20=40×10−6C
Now Error % in C is
0.12×100=5%
error % in v is
0.220×100=1%
Total error =1+5=6%
error voltage =6100×(40×10−6)=2.4×10−6
∴Q=(40±2.4)×10−6C
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