Advertisements
Advertisements
प्रश्न
Show how you would connect three resistors, each of resistance 6 Ω, so that the combination has a resistance of 4 Ω.
Advertisements
उत्तर
If we connect the resistors in series, then the equivalent resistance will be the sum of the resistors, i.e., 6 Ω + 6 Ω + 6 Ω = 18 Ω, which is not desired. If we connect the resistors in parallel, then the equivalent resistance will be `6/2` = 3 Ω is also not desired. Hence, we should either connect the two resistors in series or parallel.
Two resistors in series:
Two 6 Ω resistors are in series. Their equivalent resistance will be the sum 6 + 6 = 12 Ω.
The third 6 Ω resistor is in parallel with 12 Ω. Hence, equivalent resistance will be
`1/(1/12+1/6)=(12xx6)/(12+6)=4Omega.`
Therefore, the total resistance is 4 Ω.
APPEARS IN
संबंधित प्रश्न
A battery of 9 V is connected in series with resistors of 0.2 Ω, 0.3 Ω, 0.4 Ω, 0.5 Ω and 12 Ω, respectively. How much current would flow through the 12 Ω resistor?
Find the equivalent resistance between A and B
How does the presence of impurities in a metal affect its resistance?
Write down an expression for the resistance of a metallic wire in terms of the resistivity.
Give the law of combination of resistances in series.
If two resistors of 25 Ω and 15 Ω are joined together in series and then placed in parallel with a 40 Ω resistor, the effective resistance of the combination is :
(a) 0.1 Ω
(b) 10 Ω
(c) 20 Ω
(d)40 Ω
What is (a) highest, and (b)Ω lowest, resistance which can be obtained by combining four resistors having the following resistances?
4 Ω, 8 Ω, 12 Ω, 24 Ω
State how are the two resistors joined with a battery when equivalent resistance is more than either of the two resistances.
What potential difference is needed to drive a current o f 1 A through a 5 Ω resistor?
What is the equivalent resistance between A and B in the given circuit (Fig?)
Choose the correct alternative and rewrite the following sentence.
If three resistors 2 ohms, 3 ohms and 4 ohms are connected in series, then the effective resistance in the circuit will be _______ ohms.
State the effect of rise in temperature on the resistance of semi-conductors.
Calculate the equivalent resistance between the points A and B for the following combination of resistors:
Calculate the equivalent resistance between P and Q from the following diagram:
What is the equivalent resistance between the points X and Y for the given network?
2Ω resistor A, 1Ω resistor B and 4Ω resistor C are connected in parallel. The combination is connected across a 2V battery of negligible resistance. Draw the diagram of the arrangement and calculate:
(i) The current in each resistor A and C,
(ii) The current through battery.
Calculate the value of the resistance which must be connected to a 15 ohm resistance to provide on effective resistance of 6 ohm.
