Question

Suppose that the electric potential between points $x = 0$ m and $x = 4$ m varies according to the relationship $V(x) = (2.2 \text{ V/m})x$. Determine the magnitude of the electric field at $x = 0.5$ m and at $x = 3.1$ m.

Name: Suppose that the electric potential between points x = 0 m and x = 4 m varies according to the relationship V(x) = (2.2 V/m)x. Determine the magnitude of the electric field at x = 0.5 m and at x = 3.1 m.
Uploaded: 2022-06-25T16:25:27-08:00
Duration: 3 min 27 s
Channel: Adi S
Description: Suppose that the electric potential between points x = 0 m and x = 4 m varies according to the relationship V(x) = (2.2 V/m)x. Determine the magnitude of the electric field at x = 0.5 m and at x = 3.1 m.

          Suppose that the electric potential between points $x = 0$ m and $x = 4$ m varies according to the relationship $V(x) = (2.2 \text{ V/m})x$. Determine the magnitude of the electric field at $x = 0.5$ m and at $x = 3.1$ m.

Suppose that the electric potential between points x = 0 m and x = 4 m varies according to the relationship V(x) = (2.2 V/m)x. Determine the magnitude of the electric field at x = 0.5 m and at x = 3.1 m.

Added by Gerald D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/25/2022

Step 1

2 \text{ V/m})x$, we can find the derivative with respect to $x$: $$\frac{dV}{dx} = \frac{d}{dx}((2.2 \text{ V/m})x) = 2.2 \text{ V/m}$$ Therefore, the electric field is: $$E = -2.2 \text{ V/m}$$ The magnitude of the electric field is $|E| = 2.2 \text{ V/m}$. This Show more…

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Suppose that the electric potential between points $x = 0$ m and $x = 4$ m varies according to the relationship $V(x) = (2.2 \text{ V/m})x$. Determine the magnitude of the electric field at $x = 0.5$ m and at $x = 3.1$ m.