Use the equations and concepts associated with series, parallel, and combination circuits in order to solve the following problems.
A string of outdoor lights has 17 bulbs with equal resistances connected in series. When the string of lights is connected to a 110-Volt outlet, the current in the bulbs is 0.094 Amps.
What is the equivalent resistance of the circuit?
Equivalent resistance
Ohms
What is the resistance of each bulb?
Bulb resistance
Voltmeters can be used to determine the voltage difference between two points on a circuit. An ammeter can be used to determine the current at any given location on a circuit. The circuit at the right is powered by a 20-Volt battery and utilizes two voltmeters and two ammeters to measure voltage drops and currents. The resistor values are 2.38 Ω (R1) and 6.95 Ω (R2). Determine the ammeter readings and voltmeter readings.
Value of I1.
Current at position 1
Amps
Value of ∆V1.
Voltage across R1
Volts
Value of I2.
Current at position 2
Value of ∆V2.
Voltage across R2
A 19.5-Ω (R1) resistor and a 38.3-Ω (R2) resistor are connected in series and placed across a 24-Volt potential difference.
What is the current in the circuit?
Current
What is the voltage drop across R1?
Voltage drop across R1
What is the voltage drop across the two resistors together?
Voltage drop across both
What is the voltage drop across R2?
Voltage drop across R2
Voltmeters can be used to determine the voltage across two points on a circuit. An ammeter can be used to determine the current at any given location on a circuit. The circuit at the right is powered by a 45-Volt power source and utilizes three voltmeters and three ammeters to measure voltage drops and currents. The resistor values are 11.7 Ω (R1), 19.1 Ω (R2) and 8.7 Ω (R3). Determine the ammeter readings and voltmeter readings.
I1
Current at Position 1
∆V1
I2
∆V2
I3
Current at position 3
∆V3
Voltage across R3
I4
Current at position 4
A 102.7-Ω resistor, a 53.5-Ω resistor, and a 42.4-Ω resistor are connected in parallel and placed across a 20.6-Volt battery.
Calculate the equivalent resistance of the parallel circuit.
Calculate the current at the battery location.
Current in battery
Calculate the current in the 102.7-Ω resistor.
Current in R1
Calculate the current in the 53.5-Ω resistor.
Current in R2
Calculate the current in the 42.4-Ω resistor.
Current in R3
Cullen Ary's family loves to cook. According to Cullen's friends, they have every imaginable kitchen gadget that exists. One Sunday afternoon, they have a cooking party in which every member of the family participates. They get out the following small appliances, plug them in and turn them on. The resistance value for each appliance is listed in parenthesis. Each appliance is plugged into 120-volt receptacles that are wired in parallel on the same circuit. The circuit is protected by a 20-amp circuit breaker.
Mixer (80.0 Ω)
Crockpot (63.5 Ω)
Juicer (43.5 Ω)
Blender (18.0 Ω)
Electric Fondue (16.0 Ω)
Wok (9.5 Ω)
Rotisserie (8.0Ω)
Deep-fat fryer (6.0 Ω)
Determine the overall current on the circuit with the mixer and crockpot operating.
Determine the overall current on the circuit with the mixer, crockpot and juicer operating.
Determine the overall current on the circuit with the mixer, crockpot, juicer and blender operating.
Determine the overall current on the circuit with the mixer, crockpot, juicer, blender and electric fondue operating.
Determine the overall current on the circuit with the mixer, crockpot, juicer, blender, electric fondue, and wok operating.
Determine the overall current on the circuit with the mixer, crockpot, juicer, blender, electric fondue, wok, and rotisserie operating.
Determine the overall current on the circuit with the mixer, crockpot, juicer, blender, electric fondue, wok, rotisserie, and the deep-fat fryer operating.
After plugging in which appliance will the circuit become overloaded and the circuit breaker interrupt the circuit.
A 9.2-volt battery is used to power a parallel circuit with a 2.6 Ω and a 8.9 Ω resistor.
Determine the power level of the 2.6-Ω resistor.
Power
Watts
Determine the power level of the 8.9-Ω resistor.
Determine the the total power dissipated in the circuit.
Total power