The electric field in a particular region of space is found to be uniform, with a magnitude of 500 N/C and parallel to the +y direction. (a) What is the change in electric potential energy of a charge q=2.1 μC if it is moved from (x, y) = (20 cm, 45 cm) to (5 cm, 30 cm)? ml (b) What is the change in electric potential energy if the charge is moved the same distance along the x axis? mj

The electric field in a particular region of space is found to be uniform, with a magnitude of 500 N/C and parallel to the +y direction. (a) What is the change in electric potential energy of a charge q=2.1 μC if it is moved from (x, y) = (20 cm, 45 cm) to (5 cm, 30 cm)? ml (b) What is the change in electric potential energy if the charge is moved the same distance along the x axis? mj

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Four identical charged particles (a change in electric potential energy below remain fixed in position +19.0 pC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L 65.0 cm and W- 16.0 cm. Calculate the of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure
Two charges are held apart to store some potential energy. Charge q1 =6.50 microCoulombs and charge q2 =-8.50 microCoulombs. The charges are spaced out by distance d =1.65 m. What is the electric potential energy of the system of charges? (Answer in J)
The graph in the figure shows the variation of the electric potential V as a function of position x. V (volts) 4 AA 4 2 4 -8 -6 -2.0 V/m +2.0 V/m The x-component of the electric field at x = -3 m is given by: -0.5 V/m -0.67 V/m 6 +0.67 V/m →x (meters) 8
+Q +Q ves Bombes K +Q Q: +Q ta -a O a +29 A positive point charge +Q is located at x = -a. What is the electric potential energy of the system after an external agent bring in a second equal positive charge +Q from infinity to x = +a? (b) With the two equal point charges at x = -a and x = +a, what is the total electric potential energy of the system when an external agent brings in a third charge -Q from infinity to the origin? (c) By how much does the electric potential energy change when the charge -Q is moved from the origin to the point x = +2a along the semicircular path shown? Hint: how is the electric potential energy related to the electric potential?
An a particle (g = +2e) moves a distance of 3,700 cm from a to b in a linear accelerator. A uniform electric field with a magnitude of E= 1.95 × 10° V/m in the direction of the particle's motion is present in the accelerator. (a) Determine the force on the a particle. (b) How much work is done to it by the field? (c) Determine the potential difference Va - Vb.
The electrical potential over a certain region of space is given by V = 5x – 3x²y + 2yz². Find expressions for the x, y, and z components of the electric field in this region. What is the magnitude of the electric field (in units of Volts/meter) at point P, whose coordinates are given as (1, 0, -2) in units of meters?
A charged particle with -0.41 C of electric charge is placed in a point in the space where the electrical potential is 27.3 V. What is the electrical potential energy of the particle in the unit of J?
A plastic rod has been bent into a circle of radius R = 6.00 cm. It has a charge Q=+100.0 pC uniformly distributed along one quarter of its circumference and a charge Q, =200.0 pC uniformly distributed along the rest of the circumference. What is the electric potential at point P, on the central axis of the circle at distance D = 8.00 cm from the centre? Give your answer in volts.
Suppose an electron (q = -e = -1.6 x 10-19C, m = 9.1 x 10-31kg) is accelerated from rest through a potential difference of Vab = +5000 V. Solve for the final speed of the electron. Express numerical answer in two significant figures. The potential energy U is related to the electron charge (-e) and potential Vab is related by the equation: U = ____________ Assuming all potential energy U is converted to kinetic energy K, K + U = 0 K = -U Since K = 1/2 mv2 and using the formula for potential energy above, we arrive at an equation for speed: v = (____________)1/2 Plugging in values, the value of the electron's speed is: v= ____________ x 107 m/s
Over a certain region of space, the electric potential is V = 4x - 5x²y + 8yz². (a) Find the expressions for the x, y, z components of the electric field over this region. (Use any variable or symbol stated above as necessary.) Ex Ey Ez = = = (b) What is the magnitude of the field at the point P that has coordinates (1.00, 0, -6.00) m? N/C
Determine the magnitude of an electric field at a point in space given by r = (1.00 m i, 1.50 m j, -1.00 m k) if the electric potential is given by where x, y, z are in meters and V in volts.
The electric potential V at any point O (x, y, z all in metres) in space is given by V = 4x² volt. The electric field at the point (0, 0, 3 m) in volt/metre is