Resistance and voltage problems


Assignment:

Question 1. The filament of a light bulb has a resistance of 580 ?.  A voltage of 120 V is connected across the filament.  How much current is in the filament?

Question 2. A cylindrical copper cable carries a current of 1200 A.  There is a potential difference of 1.6 X 10-2 V between two points of the cable that are 0.24 m apart.  What is the radius of the cable?

Question 3. A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V.  The current rating of the blow-dryer is 11 A, and that of the vacuum cleaner is 4.0 A.  Determine the power consumed by (a) the blow-dryer and (b) the vacuum cleaner. (c) Determine the ratio of the energy used by the blow-dryer in 15 minutes to the energy used by the vacuum cleaner in one-half hour.

Question 4. An electric furnace runs nine hours a day to heat a house during January (31 days).  The heating element has a resistance of 5.3 ? and carries a current of 25 A.  The cost of electricity is $0.10/kWh.  Find the cost of running the furnace for the month of January.

Question 5. A 36.0-? resistor and an 18.0-? resistor are connected in series across a 15.0-V battery.  What is the voltage across (a) the 36.0-? resistor and (b) the 18.0-? resistor?

Question 6. A new “D” battery has an emf of 1.5 V.  When a wire of negligible resistance is connected between the terminals of the battery, a current of 28 A is produced.  Find the internal resistance of the battery.

Question 7. Two batteries, each with an internal resistance of 0.015 ?, are connected as in the drawing.  In effect, the 9.0-V battery is being used to charge the 8.0-V battery.  What is the current in the circuit?

889_Internal resistance .jpg

 

Question 8. A galvanometer with a coil resistance of 12.0 ? and a full-scale current of 0.15 mA is used with a shunt resistor to make an ammeter.  The ammeter registers a maximum current of 4.00 mA.  Find the equivalent resistance of the ammeter.

Question 9. Determine the equivalent capacitance between A and B for the group of capacitors in the drawing.

1247_Capacitance.jpg


Question 10. The circuit in the drawing contains two resistors and two capacitors that are connected to a battery via a switch.  When the switch is closed, the capacitors begin to charge up.  What is the time constant for the charging process?

1637_Charging process.jpg

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Physics: Resistance and voltage problems
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