Most circuits have more than one resistor. If several resistors are connected together and connected to the battery, the current supplied by the battery depends on the equivalent resistance of the circuit.
Resistors are said to be in series whenever current flows through the resistors sequentially. Consider Figure below, which shows three resistors in series with an applied voltage equal to V(Ab). Since there is only one path for the flow of charges, the current through each resistor is the same.
Req = R1 + R2 + R3 + ...+Rn
leq = l1= l2 l3 = in
leq = l1 + l2 +l3 + ... + In
Veq = V1 + V2 +V3+....+vn
One consequence of components connected in a series circuit is that if something happens to one component, it affects all other components. For example, if several lamps are connected in series and one bulb burns out, all the other lamps go dark.
Req= 1/ R1 +1/R2+ 1/R3 = V
Resistor are in parallel when one of ends of all the resistors are connected by a continuous wire of negligible resistance and the other end of all the resistors is also connected to each other through a continuous wire of negligible resistance. The potential drop across each resistor is the same.
The current through each resistor can be found using Ohm's law I = V/R, where the voltage is constant across each resistor. Normalizing to any number of N resistors, the equivalent resistance R(eq) of a parallel connection is related to the individual resistances by tra.
Req = 1 / R1 + 1 / R2 + 1 / R3 + .. + 1 /Rn
Leq = l1 + l2 +l3 + ... +in
Veq = V1 = V2 = V3 = Vn
An equivalent resistance has R(eq) which is less than the smallest of the individual resistors. When resistors are connected in parallel, more current flows through the source than either of them flows separately.
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