You must complete the circuit of (Figure 1) in such a way that it draws a curren

Question

You must complete the circuit of (Figure 1) in such a way that it draws a current of 0.350 A from the battery. The battery maintains a potential difference of10.0 V with no load, but has an internal resistance ofRbatt = 18.0 . The only material you have is20.0 mm3 of nichrome, and you must use all of it. your plan is to form the nichrome into a cylindrical resistor. [The conductivity of nichromeis 6.7 × 105

Part A

What must the cylinder length be?

Express your answer with the appropriate units.

Part B

What must the cylinder cross-sectional area be?

Express your answer with the appropriate units.

A/(Vm)
]

Explanation / Answer

Here,

let the length of cylinder is L

area of cylinder is A,

for the resistance of cylinder is R

R + Rbatt = 10/.350

R = 10.57 Ohm

L * A = 20 *10^-9 ----(1)

resistance is R

10.57 = 1/(6.7 *10^5) * L/A ---(2)

solving 1 and 2

L = 0.376 m

A = 5.314 *10^-8 m^2

the length of cylinder is 0.376 m

part B)

the cross sectional area is 5.314 *10^-8 m^2

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