Question

Two parallel plates are charged with a battery. The battery has a voltage of 12 volts and produces a charge of 23 uC as shown in the figure below. (A) On the figure, draw in the direction of the electric field between the plates and indicate which plate is at higher potential (B) What is the capacitance of the capacitor? (C) If the plates are circular with a radius of 2.2 cm. what is the distance between the plates? (D) A positively charged pi meson, or pion ( ) is released from rest halfway between the plates. A pion has a mass of 2.49x10kg and the same charge as a proton. What is the speed of the pion it is at a potential of 2.0 volts.

Answer 1

1 S -+ + + + + 2-0 Ja=d (4 This is the direction of the electric field which is shown from t'to ! by the arrow (). - Obviously Iti plate has higher potential. (B). The potential difference between the plates is givenby va P,- + = - S'Edis - S29.07 co Vad to A. where 6 - Uniform sa charge density A = arra. A from the capacitance definition of the to A 9 Given then 2.3 0 2 2-3x100 v= 12 volts. co 2-3x100 Farad c- 0.192 x 100 Farc = 0.20 pF,

Agam, e- A to = 8-854x102 t r, A = ITX (2-2x102) int CIN-int de tot 8.856x 10 x (2. 2x102) ? da 0.192 x 106 d = 1.04x10m the distance between 8 - This is the plates. & we have, mira rear F1 298 m. Given -19 2x1602X0r 2.0 m2 2.49x10?®kg, 2c 1602x19c. V = 2.000fts. then velocity (o) = 2.49 x 1028 1 50429.62 mis This is the velvity of prow at a pokenbias of 2.0 rofts.