Ablock in the shape of a rectangular solid has a cross-sectional area of 4.84 cm2 across its width, a front-to-rear length of 14.0 cm, and a resistance of 1250 ω. the block's material contains 6.90 × 1022 conduction electrons/m3. a potential difference of 28.4 v is maintained between its front and rear faces. (a) what is the current in the block? (b) if the current density is uniform, what is its magnitude? what are (c) the drift velocity of the conduction electrons and (d) the magnitude of the electric field in the block?

(a)

(b)

(c)

(d)

Explanation:

Given is a solid cube having following properties:

We, know the formula:

Putting the respective values:

Putting the respective values:

where, e is the charge on an electron.

Putting the respective values:

Electric field,

(a) I = 0.023 A

(b) J =

(c)

(d) E = 202.85 N/C

Solution:

As per the question:

Cross-sectional area, A =

Length of the block, L = 14.0 cm = 0.14 m

R = 1250

Potential Difference, V =

N =

Now,

(a) Current in the block is given by:

(b) Current density is given by:

(c) Drift velocity is given by:

where

n =

(d) The magnitude of electric field is given by: