A resistor of 8 ohm is connected in parallel
with another resistant value x. The resultant
resistence of the combination is 4.8 ohm What
is the value of resistor x?
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8
Answer:
x = 12 ohm
Explanation:
Given,
R1 = 8 ohm ; R2 = x ohm ; Req = 4.8 ohm
Resistance of eq.resistance in parallel combination:
4.8 = 8x/(8+x)
0.6 = x/(8+x)
4.8 + 0.6x = x
4.8 = 0.4x
x = 12 ohm
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mkulk1978 Ace
Given that two resistance R1 and R2 are connected in parallel.
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So resultant resistant = 1/ R= 1/R1+1/R2
Here
R=4.8 ohms
R1= 8ohms
R2= X ohms
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1/4.8 =1/8+1/X
10/48 = 8+x/8x
10(8x) =(8+x)48
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80x=8x48 +48x
80x-48x=384
32x=384
x=384/32
x=12 ohms
∴ The value of X is 12ohms
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