Problems with Circuits and Resistors

1. A series circuit contains 4 resistors of value 3.00 Ω, 1.00 Ω, 2.00 Ω, and 10.0 Ω in that order.  It is connected to a battery with a potential difference of 80.0 V.  Determine,

1. the current through each resistor.                                                   
2. the total current drawn from the battery.                                           
3. the potential difference across each resistor                          
4. the potential difference across the combination 3.00 Ω and 1.00 Ω resistors.         
5. the power dissipated in each resistor.                          
6. the power delivered by the battery.                                                     

2. A parallel circuit consists of the three resistors: 2.00 Ω, 4.00 Ω, and 4.00 Ω.  It is connected to a battery with a potential difference of 5.00 V.  Determine,

1. the current through each resistor.                                
2. the total current drawn from the battery.                                        
3. the potential difference across each resistor.                                        
4. the power dissipated in each resistor.                                     
5. the power delivered by the battery.                                                

3. The resistors 3.00 Ω and 6.00 Ω are connected in parallel and this combination is connected in series with a 7.00 Ω resistor.  The resulting combination is connected across a battery.  If the current through the 6.00 Ω resistor is 1.00 A, determine

1. the potential difference across the parallel combination.                        
2. the potential difference across the 7.00 Ω resistor.                                
3. the potential difference of the battery.                                                
4. the current drawn from the battery.                                                
5. the power supplied by the battery.                                                
6. the current through the 3.00Ω resistor.                                        
7. the resistance of the whole circuit.                                                

4. Two resistors 8.00 Ω and 4.00 Ω are connected in series.  This combination is then connected in parallel with a 6.00 Ω resistor.  This circuit is now connected across a battery with a potential difference of 24.0 V.  Determine,

1. the potential difference across the 8.00 Ω resistor.                                
2. the current drawn from the battery.                                                

5. You are given four resistors each of resistance 6.00 Ω.  How will you connect all of them in simple series, parallel, or combination to get an equivalent resistance of

1. 1.50 Ω
2. 24.0 Ω
3. 6.00 Ω (two possible ways - just find one)
4. 8.00 Ω
5. 3.60 Ω
6. 2.40 Ω
7. 15.0 Ω
8. 4.50 Ω
9. 10.0 Ω

6. Two electric bulbs, one with resistance of R1 and the other with resistance R2 are to be connected to a battery.  R1 > R2 at all temperatures.  Which bulb will be brighter if they are connected in series?  Parallel?                                                

7. For each of the three circuits shown below, determine

1. the equivalent resistance.
2. the current drawn from the battery.
3. the potential difference across each resistance.