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March 06, 2017 2 In a series circuit, the current through resistor 1 is _________ the current through the battery. A Greater than B Equal to C Less than 3 What is the current through the battery? Answer 2 s.f. March 06, 2017 4 What is the voltage drop across the 10 ohm resistor? 5 What is the value of resistor 2? March 06, 2017 I-V Characteristics 1. The graph below shows the I-V characteristics of two conductors, X and Y. The conductors are connected in series to a battery whose voltage is such that the power dissipated in each of the two resistors is the same. a) Determine the resistance of each resistor. b) Determine the total voltage of the battery. c) Determine the total power dissipated in the circuit. d) The battery is replaced by another one such that the current through X is 0.2 amps. Determine the voltage of this battery. Combining Light Bulbs in Parallel 1. Build a circuit with one light bulb and observe its brightness. 2. Add a second bulb in parallel. Observe or infer what happens to the: RTS D I Resistance of an individual bulb RTS I RTS Total resistance of the circuit D Total potential difference across the circuit RTS Potential difference across an individual bulb RTS Total current in the circuit I Current through an individual bulb RTS Power of an individual bulb (= brightness) Total power of the circuit 3. Unscrew one light bulb from its base (but leave the base in the circuit). What happens to the other light bulb? Why? March 06, 2017 Combining Light Bulbs in Parallel 4. Assume each light bulb has a resistance of 10 Ω. Analyze each circuit. Bulb #1 Bulb #2 Circuit Total R V I P Analyzing Parallel Circuits 1. Voltage: The increase in potential provided by the battery is equal to the potential drop across each resistor. 2. Current: The total current coming out of (and going back into) the battery is equal to the sum of the individual currents going through each resistor. NOTE: March 06, 2017 Analyzing Parallel Circuits 3. Power: The total power used in the circuit is the sum of the power used by the individual resistors. NOTE: 4. Resistance: The reciprocal of the total resistance is equal to the sum of the reciprocal of the individual resistances. NOTE: Analyzing Parallel Circuits 5. A 3.0 Ω and a 6.0 Ω resistor are connected in parallel. What is their equivalent resistance? March 06, 2017 6 Answer? Parallel relationships A Biggest R B Same C Smallest R 6. In a parallel circuit, which resistor, if any, will . . . a) have the greatest potential difference across it? b) have the most current running through it? c) dissipate the most power? d) shine brightest (if it is a light bulb)? Analyzing Parallel Circuits 7. Calculate the equivalent resistance of each resistor segment below. Shortcut for identical parallel resistors: