Question

In the lab, Balor measures an electricpotential of V=2.00xyz^2, where V is in volts and x,y...

In the lab, Balor measures an electricpotential of V=2.00xyz^2, where V is in volts and x,y and z are in meters. What is the magnitude of the electric field at a location of (2.8i-1.95j+3.9k),?

Homework Answers

Answer #1

The magnitude of the electric field can be foud out using the fact that the electric field is the gradient of the electric potnetial.

We know that the position where we have to find it is

Putting in these values, and simplifying, we get

To get the magnitude, we use the standard procedure to find the magnitude of vector quantities.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
What is the magnitude of the electric field at the point (2.80i + 1.75j + 4.20k)...
What is the magnitude of the electric field at the point (2.80i + 1.75j + 4.20k) m if the electric potential is given by V = 2.00xyz2, where V is in volts and x, y, and z are in meters?
The electric potential in a region of space is V=( 260 x2− 160 y2)V, where x...
The electric potential in a region of space is V=( 260 x2− 160 y2)V, where x and y are in meters. What is the strength of the electric field at  (x,y)=(2.0m,2.0m) ? What is the direction of the electric field at  (x,y)=(2.0m,2.0m)? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis.
The electric potential in a region of space is V=( 260 x2− 160 y2)V, where x...
The electric potential in a region of space is V=( 260 x2− 160 y2)V, where x and y are in meters. What is the direction of the electric field at (x,y)=(2.0m,2.0m)? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis. THe strenght of the electric field is 1200 V/m.
In a certain region of space the electric potential is given by V=+Ax2y−Bxy2, where A = 5.00 V/m3 and B = 8.00 V/m3. Calculate the...
In a certain region of space the electric potential is given by V=+Ax2y−Bxy2, where A = 5.00 V/m3 and B = 8.00 V/m3. Calculate the magnitude of the electric field at the point in the region that has cordinates x = 2.20 m, y = 0.400 m, and z = 0 Calculate the direction angle of the electric field at the point in the region that has cordinates x = 2.20 m, y = 0.400 m, and z = 0.
Jill arranges a selection of uniformly charged rings symmetrically around the x-axis so that the electric...
Jill arranges a selection of uniformly charged rings symmetrically around the x-axis so that the electric potential on the positive x-axis is V(x,0,0) = V0 ln[x/(L+x)], where V0 is in volts and x > 0 . When Jill sketched the arrangement, the z-axis points out of the screen. L and x are in units of meters. a) Find an expression for the y-component of the electric field, Ey, on the positive x-axis. b) Find an expression for the z-component of...
At time t=0 an electron at the origin is subjected to a force that briefly accelerates...
At time t=0 an electron at the origin is subjected to a force that briefly accelerates it in the -z direction, with an acceleration of 9e+17 m/s2. Before trying to answer the following questions, draw a clear diagram. Location D is at < -22, 0, 0 > m. At what time is a radiative electric field first detected at location D? _____s What is the direction of propagation of electromagnetic radiation that is detected at location D? +/- X +/-Y+/-...
The electric potential in a region of space is given by V ( x,y,z ) =...
The electric potential in a region of space is given by V ( x,y,z ) = -x^2 + 2y^2 + 15. If a 5 Coulomb particle is placed at position (x,y,z)=(-2,-2,0), what is the magnitude and direction of the force it experiences?
The electric potential in an electric field is given by V(x, y, z)= (-9.40 V/m5)x3y2 +...
The electric potential in an electric field is given by V(x, y, z)= (-9.40 V/m5)x3y2 + (3.85 V/m4)y4 - (9.8 V/m2)zy. Determine the unit vector form E = [ Ex V/m)i + (Ey V/m)j + (Ez V/m)k] of the electric field at the point whose coordinates are (-1.3 m, 2.3 m, 3.1 m). Give the x, y, z components of electric field in the form "+/-abc" V/m, or, "ab.c" V/m as is appropriate. For example, if you calculate the electric...
The potential in a region between x = 0 and x = 6.00 m is V...
The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 19.4 V and b = -6.70 V/m. (a) Determine the potential at x = 0. V Determine the potential at x = 3.00 m. V Determine the potential at x = 6.00 m. V (b) Determine the magnitude and direction of the electric field at x = 0. magnitude V/m direction ---Select--- +x -x Determine the magnitude...
Two positive point charges are held fixed on the x-axis. Point charge A is located at...
Two positive point charges are held fixed on the x-axis. Point charge A is located at the origin, and point charge B is located at the position x = −5.00 cm = −5.00✕10-2 m (on the negative x-axis). The magnitude of charge A is two times greater than that of charge B: qA = 2qB. ke = 8.9876✕109 Nm2/C2 (A.) The electric force on charge A has magnitude 0.344 mN = 0.344⨯10-3 N. What is the electric force (magnitude and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT