The electric field strength between a parralel plate is E. The separation of plate is doubled and potential difference between the plate is increased by factor of 4. What is new electric field strength

Respuesta :

Answer:

The new electric field strength is 2E

Explanation:

The electric field between parallel plated can be calculated from the formula

E = V/d

Where E is the Electric field strength

V is the potential difference between the plates

and d is the separation between them

In the first instance where the electric field strength between the parallel plates is E. Let the potential difference (V) be V₁ and the separation between the plates (d) be d₁.

∴ E = V₁/d₁

Now, from the question

The separation of plate is doubled, that is, d = 2d₁

and potential difference between the plate is increased by factor of 4, that is, V = 4V₁

Then,

From E = V/d

Let the new electric field be E₂

Then,

E₂ = 4V₁/2d₁ = 2V₁/d₁

E₂ = 2(V₁/d₁)

E₂ = 2E

Hence, the new electric field strength is 2E.

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