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A uniform electric field exists in the region between two
Chapter 21, Problem 38E(choose chapter or problem)
A uniform electric field exists in the region between two oppositely charged plane parallel plates. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate, 1.60 cm distant from the first, in a time interval of \(1.50 \times 10^{-6}\) s.
(a) Find the magnitude of the electric field.
(b) Find the speed of the proton when it strikes the negatively charged plate.
Questions & Answers
QUESTION:
A uniform electric field exists in the region between two oppositely charged plane parallel plates. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate, 1.60 cm distant from the first, in a time interval of \(1.50 \times 10^{-6}\) s.
(a) Find the magnitude of the electric field.
(b) Find the speed of the proton when it strikes the negatively charged plate.
ANSWER:Solution 38E Step 1 of 2: We have to use the constant acceleration equation to find the speed of the proton. Let + x be in the direction of motion of the proton. a) We have kinematic equation 1 2 x x0= v t0x a t2.x........ (1) Initially proton is at rest so, v = 0 0x 1 2 Hence equation (1) x x = a t ..0...2..x....(2) Electric field is defined as the electric force per unit charge.i.e E = F q qE But we have to find force so,F = qE. since Newton s second law implies a = m 1 qE 2 Now eqn (2), x x = 0 2 m t Now we have to find the electric field (E) The magnitude of the electric field is (xx )2m E = 2 qt 27 = (0.01619)(2)(1.6×16g2 1.67×10 C×(1.50×10 s) = 148 N/C