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the drawing shows a square, which has a length of The plates of a parallel- plat

ID: 1882394 • Letter: T

Question

the drawing shows a square, which has a length of

The plates of a parallel- plate capacitor are 5.0 mm apart and have a diameter of 1.0 cm. If each plate carries a charge of magnitude 5.2x 10-8 C. (-8.85x 10-12 F/m). Calculate the capacitance of this capacitor, the magnitude of electric field between the plates, the potential difference across the capacitor and the energy stored in the capacitor a- A potential difference of 5.0 V is maintained between the ends of ta 20 m copper wire with a diameter of 0.6 mm. b- Calculate the current in the wire. Calculate the potential di Calculate the resistance of 15 m of this wire. Calculate the radius of 15 m of this wire when the temperature is increased by 20 °C. Remember that the lineal expansion can be calculated by AL LoaAT) (p 1.72 x 10-812-m , 0.00393 C-1) - 107A fference in the wire if the current density is 2.0 ×-

Explanation / Answer

a)Given,

d = 5 mm ; r = 1/2 = 0.5 cm ; Q = 5.2 x 10^-8 C ;

We know that,

C = e0 A/d

C = 8.85 x 10^-12 x 3.14 x 0.005^2/5 x 10^-3 = 1.39 x 10^-13 F

Hence, C = 1.39 x 10^-13 F

Q = CV => V = Q/C

V = 5.2 x 10^-8/(1.39 x 10^-13) = 374100 V

Hence, V = 374100 V = 3.74 x 10^5 V

E = V/d

E = 374100/(5 x 10^-3) = 7.48 x 10^7 V/m

Hence, E = 7.48 x 10^7 V/m