Explanation The three electrodes placed parallel to one another acts as plates of two capacitors connected in series. On the middle electrode half positive charges resides on left side and half on right side. Therefore each side of middle plate has + 50 × 10 − 9 C charge. Find the electric field in region, x = 0.5 cm Use the formula of electric field due to infinitely charge sheet Due to left sheet E 1 = σ 2 ε 0 (Towards left) Due to middle sheet E 2 = σ 2 ε 0 (Towards left, due to positive charges) So, net electric field in region x = 0.5 cm is, E = σ ε 0 (Towards left) (I) As, surface charge density is σ = Q A Here, Q is the magnitude of charge stored on each plate, A is the cross-sectional area, Modify the equation (I) E = Q A ε 0 (I) Substitute, the value 8.85 × 10 − 12 Fm -1 for ε 0 , + 50 × 10 − 9 C for Q and 0.02 m × 0.02 m for A in equation (I) to find E , E = + 50 × 10 − 9 C ( 0.02 m × 0.02 m ) × 8.85 × 10 − 12 Fm -1 = 5 × 10 8 4 × 8.85 = 1.4 × 10 7 Vm − 1 (towards left) (II) Thus, electric field in region x = 0.5 cm is 1.4 × 10 7 Vm − 1 towards left direction. Find the electric potential in region, x = 0.5 cm Formula to find electric potential is, V f − V i = − ∫ x i x f E d x (III) For x i = 0 cm take initial potential V i = 0 V , as left electrode is the zero point of electric potential To determine (b) The electric potential and electric field at point x = 1.5 cm To determine (c) The electric potential and electric field at point x = 2.5 cm

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ISBN: 9780135245033

Author: Knight

Publisher: PEARSON

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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Chapter 26, Problem 41EAP

To determine

(a)

The electric potential and electric field at point x=0.5 cm

To determine

(b)

The electric potential and electric field at point x=1.5 cm

To determine

(c)

The electric potential and electric field at point x=2.5 cm

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Chapter 26, Problem 40EAP

Chapter 26, Problem 42EAP

Chapter 26 Solutions

MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB

Ch. 26 - l. FIGURE Q26.1 shows the x-component of E as a...Ch. 26 - Prob. 2CQ Ch. 26 - a. Suppose that E =0 V/m throughout some region of...Ch. 26 - Estimate the electric fields and at points 1 and 2...Ch. 26 - Estimate the electric fields and E2 t points 1 and...Ch. 26 - Prob. 6CQ Ch. 26 - Prob. 7CQ Ch. 26 - FIGURE Q26.8 shows a negatively charged...Ch. 26 - Prob. 9CQ Ch. 26 - FIGURE Q26.10 shows a 3 V battery with metal wires...

Ch. 26 - The parallel-plate capacitor in FIGURE Q26.11 is...Ch. 26 - Rank in order, from largest to smallest, the...Ch. 26 - I. What is the potential difference between xi= 10...Ch. 26 - Il What is the potential difference between yi= —5...Ch. 26 - Il FIGURE EX26.3 is a graph of Ex. What is the...Ch. 26 - Il FIGURE EX26.4 is a graph of Ex The potential at...Ch. 26 - Prob. 5EAP Ch. 26 - Prob. 6EAP Ch. 26 - Prob. 7EAP Ch. 26 - I What are the magnitude and direction of the...Ch. 26 - FIGURE EX26.9 shows a graph of V versus x in a...Ch. 26 - Prob. 10EAP Ch. 26 - Prob. 11EAP Ch. 26 - FIGURE EX26.12 is a graph of V versus x. Draw the...Ch. 26 - Prob. 13EAP Ch. 26 - Prob. 14EAP Ch. 26 - Prob. 15EAP Ch. 26 - Prob. 16EAP Ch. 26 - How much work does the charge escalator do to move...Ch. 26 - How much charge does a 9.0 V battery transfer from...Ch. 26 - How much work does the electric motor of a Van de...Ch. 26 - Prob. 20EAP Ch. 26 - Two 3.0cm diameter aluminum electrodes are spaced...Ch. 26 - What is the capacitance of the two metal spheres...Ch. 26 - Prob. 23EAP Ch. 26 - Prob. 24EAP Ch. 26 - 25. A capacitor, a capacitor, and a capacitor ...Ch. 26 - Prob. 26EAP Ch. 26 - What is the equivalent capacitance of the three...Ch. 26 - What is the equivalent capacitance of the three...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - To what potential should you charge a 1.0F...Ch. 26 - 50pJ of energy is stored in a 2.0cm2.0cm2.0cm...Ch. 26 - A 2.0-cm-diameter parallel-plate capacitor with a...Ch. 26 - The capacitor in a defibrillator unit supplies an...Ch. 26 - Prob. 35EAP Ch. 26 - Prob. 36EAP Ch. 26 - A typical cell has a layer of negative charge on...Ch. 26 - The electric field in a region of space is...Ch. 26 - Ill The electric field in a region of space is...Ch. 26 - An infinitely long cylinder of radius R has linear...Ch. 26 - Prob. 41EAP Ch. 26 - Prob. 42EAP Ch. 26 - a. Use the methods of Chapter 25 to find the...Ch. 26 - Prob. 44EAP Ch. 26 - Engineers discover that the electric potential...Ch. 26 - The electric potential in a region of space is...Ch. 26 - Prob. 47EAP Ch. 26 - Prob. 48EAP Ch. 26 - Prob. 49EAP Ch. 26 - Prob. 50EAP Ch. 26 - Prob. 51EAP Ch. 26 - Prob. 52EAP Ch. 26 - Prob. 53EAP Ch. 26 - Two 2.0 cm × 2.0 cm metal electrodes are spaced...Ch. 26 - Find expressions for the equivalent capacitance of...Ch. 26 - What are the charge on and the potential...Ch. 26 - What are the charge on and the potential...Ch. 26 - Prob. 58EAP Ch. 26 - Prob. 59EAP Ch. 26 - Six identical capacitors with capacitance C are...Ch. 26 - Prob. 61EAP Ch. 26 - A battery with an emf of 60 V is connected to the...Ch. 26 - Prob. 63EAP Ch. 26 - Prob. 64EAP Ch. 26 - Prob. 65EAP Ch. 26 - Prob. 66EAP Ch. 26 - Prob. 67EAP Ch. 26 - Prob. 68EAP Ch. 26 - Prob. 69EAP Ch. 26 - Prob. 70EAP Ch. 26 - Prob. 71EAP Ch. 26 - Prob. 72EAP Ch. 26 - Prob. 73EAP Ch. 26 - Prob. 74EAP Ch. 26 - In Problems 75 through 77 you are given the...Ch. 26 - Prob. 76EAP Ch. 26 - Prob. 77EAP Ch. 26 - 78. Two 5.0-cm-diameter metal disks separated by...Ch. 26 - Prob. 79EAP Ch. 26 - Charge is uniformly distributed with charge...Ch. 26 - Consider a uniformly charged sphere of radius R...Ch. 26 - Prob. 82EAP Ch. 26 - Prob. 83EAP

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