Answered

IDNLearn.com: Your trusted platform for finding precise and reliable answers. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.

2. A current of 9 A flows through an electric device with a resistance of [tex]\( 43 \Omega \)[/tex]. What must be the applied voltage in this circuit?

A. [tex]\( 387 A \)[/tex]

B. [tex]\( 4.8 V \)[/tex]

C. [tex]\( 4.8 A \)[/tex]

D. [tex]\( 387 V \)[/tex]

Sagot :

GinnyAnsweridn
To determine the applied voltage in this circuit, we can use Ohm's Law. Ohm's Law states that the voltage [tex]\( V \)[/tex] across a resistor is the product of the current [tex]\( I \)[/tex] flowing through the resistor and the resistance [tex]\( R \)[/tex] of the resistor. Mathematically, this is expressed as:

[tex]\[ V = I \times R \][/tex]

Given the problem:

- The current [tex]\( I \)[/tex] is 9 Amperes (A).
- The resistance [tex]\( R \)[/tex] is 43 Ohms ([tex]\(\Omega\)[/tex]).

We substitute these values into the Ohm's Law formula:

[tex]\[ V = 9 \, \text{A} \times 43 \, \Omega \][/tex]

When we perform the multiplication:

[tex]\[ V = 387 \, \text{V} \][/tex]

Therefore, the applied voltage in the circuit must be:

[tex]\[ \boxed{387 \, \text{V}} \][/tex]

From the given multiple choices:
- A. [tex]\( 387 \, A \)[/tex] is incorrect because the unit is Amperes (A), which measures current, not voltage.
- B. [tex]\( 4.8 \, V \)[/tex] is incorrect.
- C. [tex]\( 4.8 \, A \)[/tex] is incorrect because the unit is Amperes (A), which measures current, not voltage.
- D. [tex]\( 387 \, V \)[/tex] is the correct answer.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.