An Section is released from rest in a region between two parallel plates with el

Question

An Section is released from rest in a region between two parallel plates with electric field E. The plates are Delta x = 8.5 cm spsrt. The final speed of the electron field E, The plates are delta apart The final speed of the electron is A conductor is 10,000 m long and has a cross sectional area of 0.5 cm^2 Calculate the resistance of the wire when it is heated to 400 degreeC given that the wire is initially at room temperature of 20 degreeC and its coefficient of resistance is p_o = 1.72 x 10^8 Ohm.m The temperature coefficient of resistance a = 3.9 x 10^3/C at room temperature.

Explanation / Answer

(1)

from the kinematic equation

v^2 - u^2 = 2a del x

v^2 - 0 = 2 ( F/m) del x

v^2 = 2 ( Eq/m) del x

E = v^2 m/ 2 q del x

= ( 5.8 * 10^6)^2 ( 9.1* 10^-31)/ 2( 1.6 * 10^-19) ( 0.085)

=1.13 * 10^3 N/C

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(2)

V = k( 5/14 +(-5/10)+7/4

= 9* 10^9 ( 35.71-50+175) * 10^-6

=1.45* 10^6 V

(3)

R = rho L/A = 1.72 * 10^-8 (10000/ 0.5 * 10^-4 m^2 = 3.44 ohm

R = Ro ( 1+ alpha del T)

= 3.44 ( 1+3.9 * 10^-3 ( 400-20) = 8.5 ohm

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