This document contains 7 problems related to electrical circuits and concepts such as current, resistance, electric field, and potential difference. Problem 1 involves calculating properties of electrons flowing through a copper wire and light bulb. Problem 2 involves calculating the resistivity of a conductor. Problems 3-6 involve using given values like current, diameter, electric field, and potential difference to calculate other values like resistance. Problem 7 involves calculating the equivalent resistance between two points in a circuit diagram with multiple resistors.
SEATWORK 11 - Current, Resistance, and Electric Field Problems
1. SEATWORK 11
1. A 5.00-A current runs through a 12-gauge copper wire (diameter 2.05 mm) and through a
light bulb. Copper has 8.5 x 1028free electrons per cubic meter.
(a) How many electrons pass through the light bulb each second?
(b) What is the current density in the wire?
(c) At what speed does a typical electron pass by any given point in the wire?
(d) If you were to use wire of twice the diameter, which of the above answers would
change? Would they increase or decrease?
2. A conductor of uniform radius 1.20 em carries a current of 3.00 A produced by an
electric field of 120V/m. What is the resistivity of the material? l
3. The] 8-gauge copper wire has a diameter of 1.02 mrn and a cross-sectional area of8.20 x
10-7 m2. 1t carries a current of 1.67 A. Find:
(a) the elecl ric-field magnitude in the wire
(b) the potential difference between two points in the wire 50.0 m apart; and
(c) the resistance ofa 50.0-m length of this wire.
4. Suppose the resistance of the wire in #3 is 1.050 at a temperature of20cC Find the
resistance at O°C and at 100°e.
5. A.lightbulb has a resistance of 240 n when operating with a potential difference of 120 V
across it. What is the current in the lightbulb?
6. A current-carrying gold wire has diameter 0.84 mm. The electric field in the wire is 0.49
V1m. What are
(a) the current carried by the wire;
(b) the potential difference between two points in the wire 6.4 m apart;
(c) the resistance ofa 6.4-m length of this wire?
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