# Series Parallel Circuit Problem With answer key ```Quiz 2P
Series – Parallel Circuit
I.
Calculate the following. Fill-in the blanks. (2 points each)
1. 1.8kΩ and 2kΩ resistors are in series. If the total power dissipated by the resistors is 300
mW, how much is the applied voltage, V?
E
33.76388603 V
2. A 220Ω, &frac14;-W resistor is in parallel with 1.5kΩ, &frac12;-W and 9.8kΩ, 2-W resistors. What is the
maximum total current, I, that this parallel combination can have before the wattage rating
of any resistor is exceeded?
Imax
39.41088039 mA
3. A 560Ω, 1/8-W resistor is in parallel with 1.2kΩ &frac14;-W and 1kΩ, &frac12;-W resistors. What is the
maximum voltage, V that can be applied to this circuit without exceeding the wattage
rating of any resistor?
Emax
8.366600265 V
4. Three resistors in parallel have a combined equivalent resistance Rt of 2.2kΩ. If R2 is twice
the value of R3 and three times the value of R1, what are the values for R1, R2, and R3?
R1
4.4 kΩ
R2
13.2 kΩ
R3
6.6 kΩ
5. Three resistors in parallel have a combined equivalent resistance Rt of 6Ω. If the
conductance, G1, is one third that of G2 and one fifth that of G3, what are the values of R1,
R2, and R3?
R1
54 Ω
R2
18 Ω
R3
10.8 Ω
6. Two bulbs B1 100 W, 200 V and B2 40 W, 200 V are connected in series across 200 V
battery, the total circuit resistance will be.
Rt
1.4 kΩ
7. A wire has a resistance of 12 Ω (Set B, C, D) or 25 Ω (Set A). It is bent in the form of a
circle. The effective resistance between the two points on any diameter of the circle is
R = 12 Ω
3 Ω (Set B, C, D)
R = 25 Ω
6.25 Ω (Set A)
8. In figure below, bulbs A and B each have an operating voltage of 28 V. If the wattage
ratings for bulbs A and B are 1.12 W and 2.8 W, respectively, calculate
R1
657.1428571 Ω
PR1
12.88 W
RT
857.1428571 Ω
```