Series & Parallely connected electrical components?

Question

Electric components in parallel offer less resistance to current & components connected in series offer high resistance path...Plz explain this THEORYTICALLY.......(not using the expression...)

Answer 1

Not using expression? You'll have to learn Ohm's law one day if you want to learn anything about electricity.

Use a milkshake metaphor, imagine you are drinking milkshake from a straw. Now cut one straw in half. It is easier to drink from the shorter straw. This is the series case.

Now use two straws side by side instead of one. That doubles the amount of shake or current. That is the parallel case.

Now I know what you are thinking, doubling the rate of milkshake intake will seriously chill your mouth and make it uncomfortably cold. So replace the shake with lukewarm chocolate milk made with half fat milk if you want to maintain the same rate of calorie intake. But maybe that is stretching the metaphor a bit too far.

Answer 2

assume a parallel connection. let there be 2 resistors in parallel connection with nodal terminals A & B. If the current is flowing from A to B, the power in A and B must be the same. In the branches, the current splits. voltage will remain the same, hence resistance reducesin such a way that the net power remains constant. Hence resistance in parallel path is less.
it is the similar case in series, but here voltage splits.

Answer 3

For resitors R1 and R2 in series, the total resistance is R1 + R2.

For resistors R1 and R2 in parallel, the total resistance is given by
R1R2 / (R1 + R2)

let R1 = 10Ω and R2 = 20Ω

In series, resistance = 30Ω

In parallel, resistance = (10 x 20) / 30 Ω = 200/30 Ω = 6.67Ω

ie resistance in parallel is smaller than resistance in series.

Answer 4

Consider a bridge to cross a river. The length of the bridge is 2 km.

In the road ahead two rows of cars are to cross the river. But the width of the bridge is such as to allow only one row of cars.

This corresponds to series connection. ( Two bridges connected in series)

Now consider a bridge to cross a river. The length of the bridge is 1 km.

In the road ahead two rows of cars are to cross the river. The width of the bridge is such as to allow only one row of cars. But there are two such bridges ( parallel to one another).

This corresponds to parallel connection.