Answer :

MATERIALS REQUIRED


Two standard resistance coils, ammeter, voltmeter, one-way plug key, a low resistance rheostat, connecting wires, battery or battery eliminator.


THEORY


An arrangement in which resistors are connected between two common ends of the circuit in such a way that the potential difference across each resistance is equal to the applied voltage, then such an arrangement is called the parallel combination


As shown in the figure, two resistances R1 and R2 are connected between two points A and B  in the parallel combination.


Let the potential applied by the dc source to this combination be V. let I1 and I2 be the current measured by ammeters, connected in series with the resistor R1 and R2 respectively, then


I = I1+I2


According to ohms law, I1 = V/R1 and I2 = V/R2


If Rp, is the equivalent resistance of the given parallel combination having the same potential difference a the applied potential, then


or


Circuit Diagram



Apparatus Arrangement Diagram:


Connect all the resistors in parallel combination between the two terminals of the voltmeter as shown in the figure given below.



PROCEDURE


1. Connect the circuit as shown in the circuit diagram with one of the unknown resistors.


2. By using Ohm’s law, find the value of each resistance, Let it be R1 or R2.


3. Connect the given resistors in parallel combination between the two terminals of the voltmeter as shown in the circuit diagram above.


4. Plug in the key and take the readings of ammeter and voltmeter.


5. Repeat the step 5 for three times by changing the position of the sliding contact of the rheostat.


6. Record the readings in the observation table and find the ratio of V and I. It will give the equivalent resistance of the combination.


OBSERVATION TABLE



Observation:

1. Least count of ammeter:


The image of the ammeter is attached here:



The range of the ammeter = 500 - 0 mA = 500 mA = 0.5 A


The number of divisions in between two consecutive values = 10


Therefore, the least count =


= 0.01 A


2. Zero error of ammeter:


The needle of the ammeter points towards zero of the main scale of the ammeter.



3. Least count of voltmeter:


The range of voltmeter = 2 - 0 V = 2 V.


The number of division in small scale between two division on the main scale


= 10


Therefore, the least count


4. Zero error of voltmeter = 0 V.


CALCULATIONS


1. Mean value of R1 = 2.083 Ω


2. Mean value of R2 = 1.973 Ω


Equivalent value of parallel combination:


(a) by calculation, R = 1 Ω



(b) by experiment, R = 1.08 Ω


RESULT


1. The equivalent resistance of parallel combination = 1.08 Ω.


2. There is a direct agreement between the calculated value and the experimental value.


Hence, is verified.


PERCENTAGE ERROR


Percentage error


Percentage error = 8%


Precautions:


1. All the connection should be tight and properly done as per circuit diagram.


2. Take out the plug from the plug key in between the two observations.


3. A low resistance rheostat should be used in the circuit to obtain large variation in current.


4. A thick copper connecting wires should be used in the circuit.


5. The positive terminal of the ammeter and voltmeter must be connected with the positive terminal of the battery or battery eliminator.

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