The figure shows a new circuit. [Page 589] When the circuit is s
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The figure shows a new circuit. [Page 589]

When the circuit is switched on the ammeter reads 0.5 A.

i) Calculate the value of the unknown resistor R.

ii) Calculate the charge passing through the 3 ohm resistor in 120 s

iii) Calculate the power dissipated in the 3 ohm resistor.


i)
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ii)
We space know space that comma space

space straight q space equals it space equals space 0.5 space cross times space 120 space

space space space space space space space space space equals space 60 space Coulomb
iii)
Power, P = V.I.

             = I2R

             = (0.5)2 x 3

             = 0.25 x 3

          P = 0.75 Watt

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Two resistors of 4 ohm and 6 ohm are connected in parallel to a cell to draw 0.5 A current from the cell.

i) Draw a labeled circuit diagram showing the above arrangement.

ii) Calculate the current in each resistor. 

i) The labeled circuit diagram is shown as below: 

 
ii) 
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Three resistors are connected to a 6 V battery as shown in the figure given below: 

Calculate:

i) the equivalent resistance of the circuit.

ii) total current in the circuit.

iii) potential difference across the 7.2 ohm resistor


Reistors 8 ohm and 12 ohm are in parallel.

Then, equivalent resistance is, 

Error converting from MathML to accessible text.

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Three resistors are connected to a 12 V battery as shown in the figure given below:

i) What is the current through the 8 ohm resistor?
ii) What is the potential difference across the parallel combination of 6 ohm and 12 ohm resistor?
iii) What is the current through the 6 ohm resistor?


Here, 12 ohm and 6 ohm resistors are connected in parallel.

Therefore, their effective resistance, fraction numerator 12 cross times 6 over denominator 12 plus 6 space end fraction space equals space 72 over 18 equals 4 straight capital omega 
Total resistance of the circuit = 8+4 = 12

i) Current drawn = E over R equals 12 over 12 equals 1 space A
That is, current through the 8 om resistor = 1 A

ii) P.D. across the 8 ohm resistor = I  R = 1  = 8 V

P.D. across the parallel combination of resistors = 12 – 8 = 4 V

Because, the resistances are in parallel and they have the same P.D. each.

That is equal to 4 V.

iii) Current through the 6 ohm resistor =Error converting from MathML to accessible text.

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Five resistors of different resistances connected together as shown in the figure. A 12 V battery is connected in the arrangement.

Calculate:

i) the total resistance in the circuit.

ii) the total current flowing in the circuit. 

Here R1 and R2 are connected in parallel. 

1 over straight R equals 1 over R subscript 1 plus 1 over R subscript 2 space

space space space space equals 1 over 10 plus 1 over 40 space

space space space space equals 5 over 40 equals 1 over 8

rightwards double arrow space space space space space space R equals 8 capital omega 

And R3, R4 and R5 are in parallel. 

That is, 

1 over straight R to the power of apostrophe equals 1 over R subscript 3 plus 1 over R subscript 4 plus 1 over R subscript 5

space space space space space equals 1 over 30 plus 1 over 20 plus 1 over 60

space space space space space equals fraction numerator 2 plus 3 plus 1 over denominator 60 end fraction space

space space space space space equals 1 over 10 space

rightwards double arrow R apostrophe equals 10 capital omega

 

i)Total resistance = R + R’ = 8 +10 = 18 ohm

ii) Total current = =0.67 A

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