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(a) Two plates (20 cm x 3.0 cm) are separated by a 1.0 mm air gap forming a capacitor. Assume dielectric constant () for air is 1.000. The capacitor is connected to a 12 V battery. i) Determine the capacitance of the parallel plate capacitor. ii) What is the charge on each plate? (b) Three particles of charge 50 C, 27 C and –70 C are placed in a straight line with the 27 C charge in the middle and the 50 C charge to its left. The charge in the middle is 0.30 m from each of the other two charges. Calculate the magnitude and direction of net force on the 27 C charge due to the other two charges.

(a) Two plates (20 cm x 3.0 cm) are separated by a 1.0 mm air gap forming a capacitor. Assume dielectric constant () for air is 1.000. The capacitor is connected to a 12 V battery. i) Determine the capacitance of the parallel plate capacitor. ii) What is the charge on each plate? (b) Three particles of charge 50 C, 27 C and –70 C are placed in a straight line with the 27 C charge in the middle and the 50 C charge to its left. The charge in the middle is 0.30 m from each of the other two charges. Calculate the magnitude and direction of net force on the 27 C charge due to the other two charges. 

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Grade:12th pass

2 Answers

Arun
25758 Points
2 years ago
C= 
d
ϵ 
o
​ 
 A
​ 
 
According to the values given C=1.8×10 
−11
 F
Now Q=CV
Hence charge on the positive plate will be 1.8×10 
−9
 C
(a) Dielectric constant, k = 6
C=1.8×10 
−11
  F
new capacitance, C 
′
 =kC=108 pF
V=100volts
q 
′
 =V×C 
′
 =1.08×10 
−8
  C
V remains the same.
 
(b) C 
′
 =kC=6×1.8×10 
−11
 =108pF
q remains the same.
q=1.8×10 
−9
  C
V 
′
 =q/C 
′
 =16.67 V
Vikas TU
14149 Points
2 years ago
Dear student 
The above explanation is not properly explained 
Please ignore this 
We are sorry for inconvenience.
Good Luck 
Cheers 

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