By inspection which resistor will receive the larger share...

By inspection, which resistor will receive the larger share of the applied voltage? Why? How much larger willl V3 be compared to V2 and V1? Find the voltage across the largest resistor using the voltage divider rule Find the voltage across the series combination of resistors R2 and R3

Transcript

00:01 Here in this given problem, three resistors are in series combination.

00:10 This is r1 whose value is just 100 ome.

00:17 Another one r2, whose value is 1 kilo -oom or 1 ,000 -oom, you can say.

00:26 The third one, r3.

00:30 This is 10 kilo -oom or we can say this is 10 ,000 ome and then battery providing a voltage of an emf of 60 volt finally the circuit is closed the potential drop taking place across the first resistor that is v1 that across the r2 this is v2 and finally across r3 this is b3 that is mentioned in the diagram in the figure in the first part of the problem we have to find the resistance across which the largest share of the applied voltage will take place so as the current remains the same in series so using om's law potential drop is equal to i into r and current is constant means this potential drop depends directly on r so we conclude the largest share the largest resistor will receive the largest share of applied voltage means that is 10 kiloom means r3 it will receive the largest share of voltage now in the second part of the problem we have to find the difference in the voltage which this r3 will be having from r2 and from r1 to find it first of all we find the net resistance of this circuit which will be given by r1 plus r2 plus r3 as all these three are in series so this will be 100 ome plus 1000 om plus 10 ,000 om and here it will come out to be 11110 means 1111 100 ome this will be so total current passing through this series combination using oms law that is v by r in 60 by 11110 zero so here it will come out to be 0 .0 .054 amper.

03:41 So the potential drop, the voltage drop across v1, across r1, this is v1 is equal to i into r1.

03:49 It will come out to be 0 .54 volt...

Question

By inspection, which resistor will receive the larger share of the applied voltage? Why? How much larger willl V3 be compared to V2 and V1? Find the voltage across the largest resistor using the voltage divider rule Find the voltage across the series combination of resistors R2 and R3

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