The wires leading to and from a 0.12 mm diameter lightbulb filament are 1.5 mm in diameter. The wire to the filament carries a current with a current density 4.5 X 105 A/m2. What are (a) current and the (b) current density in the filament

Respuesta :

Answer:

a) 0.792A

b) 7.0 x 10^7 A/m^2

Explanation:

The explanation is given in the picture below

Ver imagen Busiyijide

Answer:

Explanation:

Guven:

Radius of the wire, Radius.w = 1.5/2 mm

= 0.75 × 10^-3 m

Radius of the filament, Radius.f = 0.12/2 mm

= 0.6 × 10^-4 m

Current density of the wire, J = 4.5 × 10^5 A/m^2

Current, I = J × Area.w

= 4.5 × 10^5 × pi × (0.75 × 0^-3)^2

= 0.795 A

= 0.8 A

B.

Area.f = pi × Raduis.f^2

= pi × (0.6 × 10^-4)^2

= 1.13 × 10^-8 m^2

J = I/Area.f

= 0.8/1.13 × 10^-8

= 7.07 × 10^7 A/m^2

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