Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To find the power dissipated by a resistor in a circuit, we can use the formula:
[tex]\[ P = I^2 \cdot R \][/tex]
where:
- [tex]\(P\)[/tex] is the power dissipated in watts (W),
- [tex]\(I\)[/tex] is the current in amperes (A),
- and [tex]\(R\)[/tex] is the resistance in ohms (Ω).
Given:
- The resistance [tex]\( R = 75 \Omega \)[/tex],
- and the current [tex]\( I = 2.0 A \)[/tex],
We will substitute these values into the formula to find the power [tex]\( P \)[/tex]:
1. First, square the current:
[tex]\[ I^2 = (2.0 \, A)^2 = 4.0 \, A^2 \][/tex]
2. Next, multiply the squared current by the resistance:
[tex]\[ P = I^2 \cdot R = 4.0 \, A^2 \cdot 75 \, \Omega \][/tex]
3. Perform the multiplication:
[tex]\[ P = 4.0 \cdot 75 = 300 \, W \][/tex]
Therefore, the power dissipated by the resistor is:
[tex]\[ 300 \, W \][/tex]
So, the correct answer is:
B. [tex]\(300 \, W\)[/tex]
[tex]\[ P = I^2 \cdot R \][/tex]
where:
- [tex]\(P\)[/tex] is the power dissipated in watts (W),
- [tex]\(I\)[/tex] is the current in amperes (A),
- and [tex]\(R\)[/tex] is the resistance in ohms (Ω).
Given:
- The resistance [tex]\( R = 75 \Omega \)[/tex],
- and the current [tex]\( I = 2.0 A \)[/tex],
We will substitute these values into the formula to find the power [tex]\( P \)[/tex]:
1. First, square the current:
[tex]\[ I^2 = (2.0 \, A)^2 = 4.0 \, A^2 \][/tex]
2. Next, multiply the squared current by the resistance:
[tex]\[ P = I^2 \cdot R = 4.0 \, A^2 \cdot 75 \, \Omega \][/tex]
3. Perform the multiplication:
[tex]\[ P = 4.0 \cdot 75 = 300 \, W \][/tex]
Therefore, the power dissipated by the resistor is:
[tex]\[ 300 \, W \][/tex]
So, the correct answer is:
B. [tex]\(300 \, W\)[/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.