Consider the circuit shown in Figure P18.14. R1 = 3.0 , R2 = 7.0 , and V = 9.0 V
ID: 1421177 • Letter: C
Question
Consider the circuit shown in Figure P18.14. R1 = 3.0 , R2 = 7.0 , and V = 9.0 V. p28-15alt.gif What is the total resistance in the circuit? What is the current through the battery? What is the current through resistor R1? What is the current through the 4 ohm resistor? What is the current through the resistor R2? What is the current through the 1 ohm resistor? What is the voltage accross the resistor R1? What is the voltage accross the 4 ohm resistor? What is the voltage accross the resistor R2? What is the voltage accross the 1 ohm resistor?
Figure P18.14
Explanation / Answer
1) total resistance in the circuit = 0.875 + 3 + 4
= 7.875 ohm
2) the current through the battery = 9/7.875
= 1.143 A
3) the current through resistor R1 = 1.143 A
4) the current through the 4 ohm resistor = 1.143 A
5) the current through the resistor R2 = 1/7
= 0.1428 A
6) the current through the 1 ohm resistor = 1/1
= 1 ohm
7) the voltage accross the resistor R1 = 3 * 1.143
= 3.429 V
8) the voltage accross the 4 ohm resistor = 4 * 1.143
= 4.572 V
9) the voltage accross the resistor R2 = 1 V
10) voltage accross the 1 ohm resistor = 1 V