Advertisements
Advertisements
Question
A resistor of 8 ohms is connected in parallel with another resistor X. The resultant resistance of the combination is 4.8 ohms. What is the value of the resistor X?
Solution
When the two resistors are connected in parallel, we have:
`1/R=1/R_1+1/R_2`
`1/4.8=1/8+1/x`
`1/4.8-1/8=1/x`
`(1-0.6)/4.8=1/x`
`0.4/4.8=1/x`
`x=12`Ω
`x=12`Ω
Therefore, the value of X=12 I
APPEARS IN
RELATED QUESTIONS
Differentiate between resistances in series and parallel.
Show how you would connect two 4 ohm resistors to produce a combined resistance of (a) 2 ohms (b) 8 ohms.
Are the lights in your house wired in series?
Which of the following combinations have the same equivalent resistance between X and Y?
Five resistors, each 3 Ω, are connected as shown in Fig. Calculate the resistance
- between the points P and Q.
- between the points X and Y.
A battery of e.m.f. 15 V and internal resistance 2 `Omega` is connected to tvvo resistors of 4 ohm and 6 ohm joined.
(i) In series,
(ii) In para 1 lel. Find in each case the electrica I energy spent per minute in 6 ohm resistor.
What are the advantages of a parallel connection?
An electrical appliance has a rating 100 W, 120V. The resistance of element of appliance when in use:
How does the resistance of a metallic wire depend on the length of wire?
Two resistors of resistance 2 Ω and 3 Ω are connected in parallel to a cell to draw current 0.5 A from the cell. Calculate the current in each resistor.
