your friend needs 10 ohms resistance he came to you and asked but you have 40 ohms resistance .how many resistance your friend will ask you ?show that the effective resistance is 10 ohms?
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Answered by
19
Ans.
4 resistors of resistance 40 Ohm connected in parallel will give the net resistance of 10 Ohm.
Clearly
1/R=1/40+1/40+1/40+1/40
1/R=4/40
R=10 Ohm
4 resistors of resistance 40 Ohm connected in parallel will give the net resistance of 10 Ohm.
Clearly
1/R=1/40+1/40+1/40+1/40
1/R=4/40
R=10 Ohm
Answered by
4
Given : 10 Ohm resistance required
Resistor available of 40 ohm
To Find :How many resistors required
Solution:
Resistance in series gets added R = R1 + R2
Resistance in parallel 1/R = 1/R1 + 1/R2
Let say N resistance of 40 Ω are taken
Then 1/R = 1/40 + 1/40 + 1/40 +.............+ N times
=> 1/R = N ( 1/40)
=> R = 40/N
R = 10 Ω
40/N = 10
=> N = 40/10
=> N = 4
4 resistors of 40 ohm are required to get 10 Ohm ( when connected in parallel)
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