1. A resistor is made out of a material with resistivity p. The resistor is in the shape of a thick cylindrical shell of inner radius a, outer radius b, and length e. The resistor is attached to the circuit at the ends of the cylinders, so that current flows along the length. a) What is the resistance of this resistor? b) Suppose we change the length to 24. How does the resistance change? Does this make sense given what you know about adding resistors in series?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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Please answer a, b and c
1. A resistor is made out of a material with
resistivity p. The resistor is in the shape of a
thick cylindrical shell of inner radius a, outer
radius b, and length e.
c) Suppose we change the outer radius to c.
What is the new resistance? Show that this is
the same resistance that we would get if we
added a resistor with inner radius a and outer
radius b in parallel to another resistor with
inner radius b and outer radius c.
The resistor is
attached to the circuit at the ends of the
cylinders, so that current flows along the
length.
d) The original resistor is hooked up to a voltage
source of voltage V.
through the resistor?
What current runs
e) What power does the resistor emit when it is
hooked up to this circuit?
*f) Find the resistance of the resistor if, instead of
running the current along the length, we
attach one end of the circuit to the inner
radius and the other end to the outer radius,
so that current now flows radially out through
the resistor? *
a) What is the resistance of this resistor?
b) Suppose we change the length to 2l.
does the resistance change? Does this make
sense given what you know about adding
resistors in series?
How
Transcribed Image Text:1. A resistor is made out of a material with resistivity p. The resistor is in the shape of a thick cylindrical shell of inner radius a, outer radius b, and length e. c) Suppose we change the outer radius to c. What is the new resistance? Show that this is the same resistance that we would get if we added a resistor with inner radius a and outer radius b in parallel to another resistor with inner radius b and outer radius c. The resistor is attached to the circuit at the ends of the cylinders, so that current flows along the length. d) The original resistor is hooked up to a voltage source of voltage V. through the resistor? What current runs e) What power does the resistor emit when it is hooked up to this circuit? *f) Find the resistance of the resistor if, instead of running the current along the length, we attach one end of the circuit to the inner radius and the other end to the outer radius, so that current now flows radially out through the resistor? * a) What is the resistance of this resistor? b) Suppose we change the length to 2l. does the resistance change? Does this make sense given what you know about adding resistors in series? How
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