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frozen [14]
3 years ago
7

In a certain region of space, the electric potential is V(x,y,z)=Axy−Bx^2+Cy, where A, B, and C are positive constants. (a) Calc

ulate the x-, y-, and z-components of the electric field. (Use any variable or symbol stated above as necessary.) x-component Ex, y-component Ey, z-component Ez. At what point electric field equal to zero.
Physics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

E = (Ay-2Bx) i ^ + (Ax + C) j ^ + 0 k ^  and (-C / A i ^ + 2BC / A2 j ^)

Explanation:

The electric field the electric potential are related through the least gradient

           E = -ΔV = - dV / dx i^

Let's perform the calculations

        E = dB / dx i ^ + dV / d and j ^ + dV / dz k ^

        dv / dx = A and - B 2x

        dv / dy = Ax + C

        dv / dz = 0

        E = (Ay-2Bx) i ^ + (Ax + C) j ^ + 0 k ^

Where is E = 0

            Ex = 0

            Ay -2Bx = 0

            y = 2B / A X

            Ey = 0

            Ax + C =

            x = -C / A

           Ez = 0

For the total electric field to be steel the two components must be zero simultaneously

           y = 2B / A (-C / A)

          y = 2B C / A2

The coordinates of the point are (-C / A i ^ + 2BC / A2 j ^)

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The angular velocity of the propeller is 136.1 rad/s; linear velocity is 153.1 m/s; centripetal acceleration 20835.2 m/s² and 2123.8 g.

<h3>What is the angular velocity of the propeller?</h3>

The angular velocity of the propeller in rad/s is given as follows:

  • 1 rev/m = 2π/60 rad/s.

1300 rev/min = 1300 * 2π/60 = 136.1 rad/s.

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a = \frac{(153.1)^{2}}{1.125} = 20835.2\:ms^{2}

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Learn more about angular velocity and centripetal acceleration at: brainly.com/question/10703948

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