Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 40P: Four resistors are connected to a battery as shown in Figure P21.40. The current in the battery is...
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Concept explainers
Ohm's law
Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.
Path of Least Resistance
In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.
Question
How much current does a 300.0 W device draw when 12 V is placed across it?
![**Quiz Question: Calculating Current**
**Question:**
How much current does a 300.0 W device draw when 12 V is placed across it?
**Answer Choices:**
- ○ \( 4.2 \times 10^2 \) A
- ○ \( 3.6 \times 10^4 \) A
- ○ \( 4.0 \times 10^{-2} \) A
- ○ \( 2.5 \times 10^1 \) A
**Explanation:**
To determine the current drawn by an electrical device, you can use the formula derived from Ohm's Law and the power equation:
\[ P = V \times I \]
Where:
- \( P \) is the power (300.0 W)
- \( V \) is the voltage (12 V)
- \( I \) is the current
Rearranging the formula to solve for current \( I \):
\[ I = \frac{P}{V} \]
Substituting in the given values:
\[ I = \frac{300.0 \, \text{W}}{12 \, \text{V}} = 25 \, \text{A} \]
Therefore, the correct answer is:
- ○ \( 2.5 \times 10^1 \) A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cd77d14-523b-4d70-a9c2-c3967239ea67%2F64c716be-83c4-4486-8f6d-fbecdb2dcc90%2Fv8jq8nn_processed.png&w=3840&q=75)
Transcribed Image Text:**Quiz Question: Calculating Current**
**Question:**
How much current does a 300.0 W device draw when 12 V is placed across it?
**Answer Choices:**
- ○ \( 4.2 \times 10^2 \) A
- ○ \( 3.6 \times 10^4 \) A
- ○ \( 4.0 \times 10^{-2} \) A
- ○ \( 2.5 \times 10^1 \) A
**Explanation:**
To determine the current drawn by an electrical device, you can use the formula derived from Ohm's Law and the power equation:
\[ P = V \times I \]
Where:
- \( P \) is the power (300.0 W)
- \( V \) is the voltage (12 V)
- \( I \) is the current
Rearranging the formula to solve for current \( I \):
\[ I = \frac{P}{V} \]
Substituting in the given values:
\[ I = \frac{300.0 \, \text{W}}{12 \, \text{V}} = 25 \, \text{A} \]
Therefore, the correct answer is:
- ○ \( 2.5 \times 10^1 \) A
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