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Q.

A parallel combination of 3 resistors take a net current of 7.5 A from a supply of 30 V. If 2 


resistors are 10 ohm and 12 ohm, then which of the following is the resistance of the third resistor?


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a

25 ohm

b

15 ohm

c

10 ohm

d

5 ohm 

answer is B.

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Detailed Solution

The third resistor is given by 15 ohm
Two of the resistances are 12 ohm and 10 ohm
Three resistors take a current of 7.5A
Current, I=30V
To find the third one of the resistance,
A resistor is an acquiescent two-terminal electrical element that executes electrical resistance
as a circuit element. Resistors decrease the current flow and lower voltage levels within
circuits.
Most circuits usually have better additional than one resistor to determine the flow of charges
in a circuit. The two easiest combinations of resistors are – series and parallel.
Total current =7.5 A
V=30V
VI = 307.5 = 4
Rtotal=  4 ohm
Let the third resistor be R
Hence
1R = 110 + 112 + 1R
14 = 110 + 112 + 1R
1R =  14 + 110 + 112
1R = 15-6-560
1R = 460
1R=115
R=15 ohm
Hence, The third one is R=15 ohm
 
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A parallel combination of 3 resistors take a net current of 7.5 A from a supply of 30 V. If 2 resistors are 10 ohm and 12 ohm, then which of the following is the resistance of the third resistor?