Figure Q.1(a) shows a DC voltage, Vab connected to a series of three resistors structed using different conductors. All the conductors have the same cross section a of 300 cm2 and the same length of 5 cm. An input current of I = 20 A is supplied the structure. The conductivity of the each conductor as shown in Table Q.1(a). I= 20 A 15 cm Area, A = 300 cm? Conductor, Vab Conductor, I= 20 A Conductor, Figure Q.1(a) Table Q.1(a) Substance Conductivity, o (S/m) Length, I (cm) Conductor; Conductor2 Conductor3 36.9 x 106 15.9 x 105 10.1 x 106 Prove that the resistance of each conductor is given by R = 1/oS Ohm where R = resistance, l = length of the conductor and o = conductivity. 555

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(a) Figure Q.1(a) shows a DC voltage, Vab connected to a series of three resistors
constructed using different conductors. All the conductors have the same cross section
area of 300 cm2 and the same length of 5 cm. An input current of I = 20 A is supplied
to the structure. The conductivity of the each conductor as shown in Table Q.1(a).
I= 20 A
15 cm
Area, A = 300 cm?
Conductor,
Vab
Conductor,
I= 20 A
y
Conductor,
Figure Q.1(a)
Table Q.1(a)
Substance Conductivity, o (S/m) Length, I (cm)
Conductor
Conductor2
Conductor3
36.9 x 106
15.9 x 106
10.1 х 106
5
i. Prove that the resistance of each conductor is given by R = l/oS Ohm where
R = resistance, I = length of the conductor and o = conductivity.
ii.
Determine the electric field intensity in each conductor.
55
Transcribed Image Text:(a) Figure Q.1(a) shows a DC voltage, Vab connected to a series of three resistors constructed using different conductors. All the conductors have the same cross section area of 300 cm2 and the same length of 5 cm. An input current of I = 20 A is supplied to the structure. The conductivity of the each conductor as shown in Table Q.1(a). I= 20 A 15 cm Area, A = 300 cm? Conductor, Vab Conductor, I= 20 A y Conductor, Figure Q.1(a) Table Q.1(a) Substance Conductivity, o (S/m) Length, I (cm) Conductor Conductor2 Conductor3 36.9 x 106 15.9 x 106 10.1 х 106 5 i. Prove that the resistance of each conductor is given by R = l/oS Ohm where R = resistance, I = length of the conductor and o = conductivity. ii. Determine the electric field intensity in each conductor. 55
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