HomeworkLib
Question

The electric potential in a region of space is V=( 100 x2− 240 y2)V, where x...

The electric potential in a region of space is V=( 100 x2− 240 y2)V, where x and y are in meters. What is the direction of the electric field at (x,y)=(1.0m,3.0m)? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis.

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

V = 100x^2 - 240y^2

Ex = -dV/dx

= -200x

Ey = -dV/dy

= 480y

E = Ex i + Eyj

= -200x i + 480y j

E(1,3) = -200*1 i + 480*3 j

- -200i + 1440 j

Direction = 180 - tan^-1 ( 1440/200) = 97.9o from the x-axis in counter clockwise direction

0 0
Add a comment
Know the answer?
Add Answer to:
The electric potential in a region of space is V=( 100 x2− 240 y2)V, where x...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The electric potential in a region of space is V=( 260 x2? 150 y2)V, where x...

    The electric potential in a region of space is V=( 260 x2? 150 y2)V, where x and y are in meters. What is the direction of the electric field at (x,y)=(3.0m,3.0m) ? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis. I keep getting 331 degress. I have tried 30 and 210 as well, but they are all wrong..

  • The electric potential in a region of space is V =( 190 x2 – 160 y?)...

    The electric potential in a region of space is V =( 190 x2 – 160 y?) V, where x and y are in meters. You may want to review (Page 714) Part A For help with math skills, you may want to review: Differentiation of Polynomial Functions What is the strength of the electric field at (x, y) = (3.0m, 1.0m)? Express your answer using two significant figures. View Available Hint(s) O ADD ? E = Submit Part B What...

  • The electric potential in a region of space is V = (250 V middot m)/squareroot x^2...

    The electric potential in a region of space is V = (250 V middot m)/squareroot x^2 + y^2, where x and y are in meters. Part A What is the strength of the electric field at (x, y) = (2.3 m, 1.8 m)? Express your answer using two significant figures. E = ______________ Part B What is the direction of the electric field at (x, y) = (2.3 m, 1.8 m)? Give the direction as an angle ccw from the...

  • The electric potential in a region of space is V= (350Vm) / ( sqrt(x^2 + y^2...

    The electric potential in a region of space is V= (350Vm) / ( sqrt(x^2 + y^2 ), where x and y are in meters. A: What is the strength of the electric field at (x,y)=(2.6m,2.4m)? E= ? V/m B: What is the direction of the electric field at (x,y)=(2.6m,2.4m)? Give the direction as an angle ccw from the positive x-axis. Express your answer using two significant figures.

  • The electric potential at points in an xy plane isgiven by V = (2.2 V/m2)x2-(3.7 V/m2)y2....

    The electric potential at points in an xy plane isgiven by V = (2.2 V/m2)x2-(3.7 V/m2)y2. What are(a) the magnitude of the electric field at thepoint (3.3 m, 2.6 m) and (b) the angle that thefield there makes with the positive x direction. (a) Number Units N/C or V/m (b) Number Units ° (degrees)

  • A positive charge q moves along the positive x-axis in a region of space where a...

    A positive charge q moves along the positive x-axis in a region of space where a magnetic field points along the negative z-axis and an electric field points 19° below the negative x-axis (in the xy-plane) a. Draw a free body diagram indicating all forces acting on the particle. (Neglect gravity) b. What is the magnitude of the Lorentz force on the particle? c. What is the direction of the Lorentz force? Give your answer in degrees and indicate which...

  • There is a region of space where the electric potential has the form V(x,y) = (x^2)y...

    There is a region of space where the electric potential has the form V(x,y) = (x^2)y + 8x - 36y. At what position(s) is the electric field vector in this same region exactly zero?

  • The electric potential at points in an xy plane is givenby V = (2.9 V/m2)x2 -(2.7V/m2)y2....

    The electric potential at points in an xy plane is givenby V = (2.9 V/m2)x2 -(2.7V/m2)y2. What are(a) the magnitude of the electric field at thepoint (3.4 m, 1.9 m) and (b) the angle that thefield there makes with the positive x direction.

  • The electric potential at points in an xy plane is givenby V = (3.0 V/m2)x2 -(3.8V/m2)y2....

    The electric potential at points in an xy plane is givenby V = (3.0 V/m2)x2 -(3.8V/m2)y2. What are(a) the magnitude of the electric field at thepoint (4.3 m, 1.7 m) and (b) the angle that thefield there makes with the positive x direction.

  • A positive charge q moves along the positive x-axis in a region of space where a...

    A positive charge q moves along the positive x-axis in a region of space where a magnetic field points along the negative :- axis and an electric field points 19° below the negative x-axis (in the xy-plane) a. Draw a free body diagram indicating all forces acting on the particle. (Neglect gravity) b. What is the magnitude of the Lorentz force on the particle? c. What is the direction of the Lorentz force? Give your answer in degrees and indicate...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT