Answer:
The total resistance of these three resistors connected in parallel is
Step-by-step explanation:
The attached image has the circuit for finding the total resistance. The circuit is composed by a voltage source and three resistors connected in parallel: , and .
<u>First step: to find the source current</u>
The current that the source provides is the sum of the current that each resistor consumes. Keep in mind that the voltage is the same for the three resistors (, and ).
The total current is:
The total resistance () is the source voltage divided by the source current:
Now, replace by the previous expression and the total resistance would be:
Simplify the expression and you must get:
The last step is to replace the values of the resistors:
Thus, the total resistance of these three resistors connected in parallel is
Answer:
- 1/3
Step-by-step explanation:
Answer:
0.06
Step-by-step explanation:
0.061 - 0.001 = 0.060 = 0.06
Answer:
49 red marbles
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
We are told in the question that:
The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag
Hence: since
P(Blue marbles) = 2/9
Hence,
The number of blue marbles = 63 ÷ 9
= 7
Hence:
2 × 7/9 × 7 = 14/63
Hence, the number of blue marbles = 14 blue marbles
The number of red marbles bus calculated as:
63 - 14 blue marbles
= 49 red marbles