Voltage drops in a series circuit

In summary, the problem involves finding the current through each branch of a circuit with a voltage source of 30.0 V and three resistors, each with a resistance of 15.0 ohms. The total resistance for three resistors in parallel is calculated using the equation $$\frac{1}{R_{TOT}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$$ and the resulting current is found to be 1.5 A. However, it is noted that the problem statement may be incorrect as the wattage of a resistor does not affect the current, only the resistance does.
  • #1
rachelmaddiee
67
5
Homework Statement
Three 15.0-W resistors are connected in parallel across a 30.0-V battery. Please show all work. (ref: p.624-634)
a) Find the current through each branch of the circuit. b) Find the equivalent resistance of the circuit.
c) Find the current through the battery.
Relevant Equations
I = Vsource/R and R = RA + RB
Known: V source = 30.0 V
, R1 = 15.0 W, R2 = 15.0 W, R3 = 15.0 W

To determine the current, first find the equivalent resistance.
I = Vsource/R and R = RA + RB
= Vsource/RA + RB
30.0 V/15.0 W + 15.0 W + 15.0 W
= 1.5 A

This is as far as I could do the work for this question. I’m having trouble..
 
Physics news on Phys.org
  • #2
The resistors are connected in parallel, hence the equation R=RA+RB does not apply because it is for resistors in series. The total resistance for three resistors in parallel is given by the equation $$\frac{1}{R_{TOT}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$$.
a) asks for the current through each branch of the circuit, you don't need to calculate the total resistance to answer this.
 
  • Like
Likes rachelmaddiee
  • #3
Problem statement makes no sense. It doesn't matter what the wattage of a resistor is (except to the extent that you don't want to burn it out), it matters what the resistance is and this problem statement doesn't give that.

If you are somehow confused about terminology and think that "W" means ohms (it doesn't, "R" does) then your problem is this:

30.0 V/15.0 W + 15.0 W + 15.0 W
= 1.5 A
 
  • #4
Yes i think by "W" he/she actually means "Ohm" .
 

Related to Voltage drops in a series circuit

1. What is a voltage drop in a series circuit?

A voltage drop in a series circuit refers to the decrease in electrical potential energy as current flows through each component in the circuit. It is caused by the resistance of each component, which converts some of the electrical energy into heat.

2. How do you calculate voltage drops in a series circuit?

To calculate voltage drops in a series circuit, you need to know the resistance and current of each component. Then, you can use Ohm's Law (V=IR) to calculate the voltage drop across each component. The sum of all voltage drops will equal the total voltage of the circuit.

3. Why do voltage drops occur in a series circuit?

Voltage drops occur in a series circuit because of the conservation of energy. As current flows through each component, some of the electrical energy is converted into other forms, such as heat or light, resulting in a decrease in voltage.

4. How do voltage drops affect the overall circuit?

Voltage drops can affect the overall circuit by reducing the amount of voltage available for other components. This can result in a decrease in the overall performance of the circuit, such as dimmer lights or slower motor speeds.

5. How can voltage drops be minimized in a series circuit?

Voltage drops can be minimized in a series circuit by using components with lower resistance, such as thicker wires or higher quality resistors. Additionally, reducing the length of the circuit can also help minimize voltage drops.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
554
  • Introductory Physics Homework Help
Replies
1
Views
868
  • Introductory Physics Homework Help
Replies
3
Views
585
  • Introductory Physics Homework Help
Replies
10
Views
870
  • Introductory Physics Homework Help
Replies
7
Views
89
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
2
Replies
52
Views
11K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
2K
Back
Top