Two resistors of 50 and 90 ohms are connected in parallel a...

Two resistors of 5.0 and 9.0 ohms are connected in parallel. A 4.0-ohm resistor is then connected in series with the parallel combination. A 6.0-V battery is then connected to the series-parallel combination. What is the current through the 5.0-ohm resistor? A)0.83 A B)0.53 A C)0.30 A D)zero

Transcript

0:00 Hi students.

00:01 Here in this question two resistance one of 5 oom and another one of 9 ome are connected to connected in parallel to a circuit connected in parallel then a resistance of 4 om is connected to this parallel combination that is 4 oom now a 6 volt of battery 6 volt input is given to this combination across this combination now we have to calculate the current across each resistors so current across 4 om what is the current across 4 om before going to the current we have to calculate the air equivalent so air equal will be definitely will be the sum of the resistance of this parallel combination and also the series combination so are parallel plus r series okay now we have to calculate the r parallel so our parallel is nothing but 1 by 5 plus 1 by 9 is equal to 1 by r parallel so it will be like so we have 1 by r parallel is equal to 1 by 5 plus 1 .9 or r parallel is equal to 5 into 9 divided by 5 plus 9.

02:05 That's equal to 3 .21.

02:11 So r parallel is 3 .21.

02:15 Now we have to calculate r series.

02:20 So now r equivalent will be r parallel plus here.

02:25 4 om is the so this r equivalent that's r parallel plus 4 om that is 3 .21 plus 4 that's equal to 7 .21 om that is the air equivalent of the circuit so this is the r equivalent now we have to calculate the current across 4 oom so so now we can calculate the i output i output is same as the current through the 4 o also so here can be taken as i3 and the current can be taken is i3 and it can be taken as b3.

03:04 So i3 is nothing but it's equal to the output current.

03:08 So 6 volt divided by equivalent resistance 7 .21 is equal to 0 .83 ampere...

Question

Two resistors of 5.0 and 9.0 ohms are connected in parallel. A 4.0-ohm resistor is then connected in series with the parallel combination. A 6.0-V battery is then connected to the series-parallel combination. What is the current through the 5.0-ohm resistor? A)0.83 A B)0.53 A C)0.30 A D)zero

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