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Chapter 28: Q. 49 (page 792)

Suppose you have resistors 2.5k鈩�, 3.5k鈩�and 4.5k鈩� and a 100V power supply. What is the ratio of the total power delivered to the resistors if they are connected in parallel to the total power delivered if they are connected in series?

Short Answer

Expert verified

The ration will be14:5

Step by step solution

01

Given information

We have given,

Voltage = 100V

Resistances =2.5k鈩�,3.5k鈩�,4.5k鈩�

We have to find the ratio of power dissipated by when resistances are series and when are in parallel.

02

Simplify

When resistances are in parallel,

1Req=12.5+13.5+14.5Req=3.75k鈩�

Then power is dissipated by the circuit,

localid="1649283398345" P1=V2Req=(100)23.75

When resistances are in series

Req=2.5+3.5+4.5=10.5k鈩�

Then power is dissipated by the circuit,

P2=V2Req=(100)210.5

Divided the both power

ratio=14:5

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A 12 V car battery dies not so much because its voltage drops but because chemical reactions increase its internal resistance. A good battery connected with jumper cables can both start the engine and recharge the dead battery. Consider the automotive circuit of FIGURE P28.65.

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