Question

what current flows through a 2.54cm diameter rod of pure silicon that is 20.0cm long ,when 1.00x10000V is applied to it

Answer 1

0.04 Ampere of current will flow through the silicon.

What is Electrical Current ?

Electrical current is the rate at which charges flow in the conductor. It is measured in Ampere (A)

What current flows through a 2.54cm diameter rod of pure silicon that is 20.0cm long ,when 1.00x10000V is applied to it

The given diameter is 2.54 cm, the radius r = 2.54/2 = 1.27 cm

Convert cm to m

• r = 1.27/100 = 0.0127m

• L = 20/100 = 0.2m

Area A = πr²

A = π × 0.0127²

A = 0.000507 m²

The resistivity ρ of silicon material is 640 Ωm

Resistance R =  ρL / A

R = ( 640 × 0.2 ) / 0.000506

R = 128 / 0.000506

R = 252964.43 Ω

From Ohm's law

V = IR

10000 = 252964.43I

I = 10000 / 252964.43

I = 0.0395A

Therefore, 0.04 Ampere of current will flow through the silicon.

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