A capacitor of capacitance C=(2.0+0.1) uF is charged to voltage V=(20.±0.5) volt calculate the charg e?
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Answer:
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
−6
C
Now Error % in C is
2
0.1
×100=5%
error % in v is
20
0.2
×100=1%
Total error =1+5=6%
error voltage =
100
6
×(40×10
−6
)=2.4×10
−6
∴Q=(40±2.4)×10
−6
C
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