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QUESTION: 1

When a number of resistors are connected in parallel, then their resultant resistance is ______________ the smallest individual resistance.

Solution:

When the resistors are connected in parallel then the net resistance is less than or greater than the smallest individual resistance.

QUESTION: 2

Four resistors of 4 ohm each are connected in parallel, four such combinations are then connected in series. Their total resistance is

Solution:

Then, four such combination are connected in series R_{total} = 1 + 1 + 1 +1 = 4 Ω

QUESTION: 3

Two resistors 4Ω and 2Ω are connected in series, and potential difference of 12 V is applied across the combination. Then, the current through the circuit is:

Solution:

Total resistance =4+2

=6

Current =V/R = 12/6

=2A

QUESTION: 4

The decrease of resistance in parallel combination is due to:

Solution:

When connections are made in parallel, the length remains the same and area gets increase, thereby reducing the resistance.Resistance is directly proportional to length and inversely proportional to area and area is a function of diameter of wire.

QUESTION: 5

The combined resistance of 6Ω and 12Ω connected in parallel is

Solution:

Explanation:- In parallel, we know ;

1/ R p = 1/R1 + 1/R2 + ----------

1/ Rp = 1/ 6 + 1/12

1/ Rp = 1/ 4

Therefore , Rp = 4 ohm.

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