IDNLearn.com provides a user-friendly platform for finding and sharing knowledge. Join our knowledgeable community and access a wealth of reliable answers to your most pressing questions.
Sagot :
To determine the total resistance of a parallel circuit with two branches, each having a resistance of 1000 ohms, follow these steps:
1. Recall the formula for calculating the total resistance [tex]\( R_{total} \)[/tex] in a parallel circuit.
[tex]\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} \][/tex]
Here, [tex]\( R_1 \)[/tex] and [tex]\( R_2 \)[/tex] are the resistances of the two branches.
2. Substitute the resistances of the branches into the formula.
[tex]\[ \frac{1}{R_{total}} = \frac{1}{1000} + \frac{1}{1000} \][/tex]
3. Simplify the right-hand side of the equation:
[tex]\[ \frac{1}{R_{total}} = \frac{1}{1000} + \frac{1}{1000} = \frac{2}{1000} = \frac{1}{500} \][/tex]
4. Take the reciprocal of the right-hand side to find the total resistance:
[tex]\[ R_{total} = \frac{1}{\frac{1}{500}} = 500 \][/tex]
Therefore, the total resistance in a parallel circuit with two branches, each having a resistance of 1000 ohms, is 500 ohms.
The correct answer is:
O 500
1. Recall the formula for calculating the total resistance [tex]\( R_{total} \)[/tex] in a parallel circuit.
[tex]\[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} \][/tex]
Here, [tex]\( R_1 \)[/tex] and [tex]\( R_2 \)[/tex] are the resistances of the two branches.
2. Substitute the resistances of the branches into the formula.
[tex]\[ \frac{1}{R_{total}} = \frac{1}{1000} + \frac{1}{1000} \][/tex]
3. Simplify the right-hand side of the equation:
[tex]\[ \frac{1}{R_{total}} = \frac{1}{1000} + \frac{1}{1000} = \frac{2}{1000} = \frac{1}{500} \][/tex]
4. Take the reciprocal of the right-hand side to find the total resistance:
[tex]\[ R_{total} = \frac{1}{\frac{1}{500}} = 500 \][/tex]
Therefore, the total resistance in a parallel circuit with two branches, each having a resistance of 1000 ohms, is 500 ohms.
The correct answer is:
O 500
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.