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Objective


To study the dependence of potential difference (V) across a resistor on the current (I) passing through it and determine its resistance (R). Also plot a graph between V and I.

Materials Required
A voltmeter and ammeter of suitable range, resistance wire or resistor, some connecting wires, a key, a dry cell (or battery eliminator), a rheostat and a piece of sand paper.

Theory/Principle


Ohm’s Law
The dependence of current on potential difference can be studied by Ohm’s law. According to Ohm’s law, the potential difference (V) across the ends of a resistor is directly proportional to the current (I) through it provided its temperature remains the same.
i.e. V ∝ I
or
V/I = Constant = R
or
V = RI
Here, R is a constant for the given resistor at a given temperature and is called its resistance. The SI unit of resistance is ohm (Ω).
The graph between the potential difference across the two ends of a resistor and the current passing through it is a straight line passing through the origin. The slope of this straight line graph gives the resistance R of the resistor.

Procedure

  • Before starting the experiment, note down the range, least count and zero error (if any) of the ammeter and voltmeter.
  • Wipe the ends of the connecting wires with sand paper to remove any insulating layer.
  • Make a set up of the circuit by connecting different components with the help of connecting wires as shown in Fig. 1(a).
    Lab Manual: Ohm’s Law | Lab Manuals for Class 10
  • Connect the key, the rheostat, the ammeter and the resistor in series with the connecting wires to the dry cell, as shown in the circuit diagram [Fig. 1(b)], Ensure that positive (+) terminal of ammeter is joined to the positive (+) terminal of the cell. Make neat and tight connections.
  • Connect the voltmeter in parallel to the resistor, as shown in circuit diagram. Ensure that the positive (+) terminal of the voltmeter is joined to the positive (+) terminal of the cell, and the negative (-) terminal of the voltmeter is joined to the negative (-) terminal of the cell.
  • Insert the key in the plug to let the current establish in the circuit.
  • Adjust the rheostat, so that a small current passes through the resistor, say 0.1 A, so the reading of ammeter will be 0.1 A.
  • Read the corresponding value of potential difference from voltmeter.
  • Repeat the experiment by adjusting the slider, for the values of current 0.3A, 0.4A, 0.5A etc. and record the corresponding values of potential difference in voltmeter.
  • Lastly, plot a graph between V and I taking V along y-axis and I along x-axis.

Observation
Range of ammeter = ……… A
Least count of ammeter = ……….. A
Zero error of ammeter = ……….. A
Range of voltmeter = ……….. V
Least count of voltmeter = ……… V
Zero error of voltmeter = ………… V
Lab Manual: Ohm’s Law | Lab Manuals for Class 10

Calculations and Graph
Mean value of resistance = (R1 + R2 + R3 + R4)/4 = …….. Ω
Lab Manual: Ohm’s Law | Lab Manuals for Class 10

Now, by plotting the graph between V and I taking V along y-axis and I along x-axis.
We get a straight line and the slope of V versus I graph gives the resistance of the resistor (as shown in Fig. 2).
i.e. tanθ = V/I = R = Resistance
⇒ Slope = BC/AC = (V2 – V1)/(I2 – I1) = R

Result

  • From the above calculation and observation, we have concluded that for a resistor, if temperature remains constant then current through the resistor is directly proportional to the potential difference applied across it.
  • The value of resistance R of resistor remains the same for all values of current through it. The graph between V and I is a straight line and passes through the origin. This verifies Ohm’s law.

Precautions

  • Wires should be thick and their insulation of ends should be removed properly.
  • All the connections should be tight otherwise some external resistance may introduce in the circuit.
  • Ammeter must be connected in series with the circuit.
  • Voltmeter must be connected in parallel with the circuit.
  • Zero mark of ammeter and voltmeter should be checked properly.
  • There should be tight connections of connecting wires.
  • Put the plug in key, only when reading is to be recorded. Take off plug immediately after it, to avoid unnecessary heating of wires.
  • Positive terminals of voltmeter and ammeter should be connected to positive terminal of the cell and vice-versa.

Sources of Error

  • There may be a reading error of ammeter and voltmeter.
  • Area of cross-section of wire may not be uniform.
  • It may be possible that current has flown for longer period of time through the circuit.
  • There may be a loose connection in electrical circuit.
The document Lab Manual: Ohm’s Law | Lab Manuals for Class 10 is a part of the Class 10 Course Lab Manuals for Class 10.
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FAQs on Lab Manual: Ohm’s Law - Lab Manuals for Class 10

1. What is Ohm's Law and how does it relate to Class 10?
Ans. Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage across it, and inversely proportional to the resistance of the conductor. This law is taught in Class 10 as part of the physics curriculum to help students understand the relationship between voltage, current, and resistance in an electric circuit.
2. Why is Ohm's Law important to understand in Class 10?
Ans. Ohm's Law is important to understand in Class 10 because it forms the foundation of understanding how electric circuits work. By knowing the relationship between voltage, current, and resistance, students can calculate unknown quantities and analyze the behavior of different components in a circuit.
3. How can Ohm's Law be applied in practical experiments?
Ans. Ohm's Law can be applied in practical experiments by using a known voltage source, measuring the current flowing through a conductor, and calculating the resistance. By rearranging the formula V = IR, students can solve for different variables and verify the relationship between voltage, current, and resistance.
4. Can Ohm's Law be applied to both series and parallel circuits?
Ans. Yes, Ohm's Law can be applied to both series and parallel circuits. In a series circuit, the total resistance is the sum of individual resistances, and the total current is the same throughout the circuit. In a parallel circuit, the total resistance is calculated differently, but Ohm's Law still holds true for each individual branch.
5. How does Ohm's Law help in understanding the behavior of different electrical components?
Ans. Ohm's Law helps in understanding the behavior of different electrical components by providing a quantitative relationship between voltage, current, and resistance. By analyzing the values of these variables, students can determine how components will respond in a circuit and predict their effect on the overall circuit performance.
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