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Plot a graph of V on the vertical axis and I on the horizontal axis, starting both axes from the origin (0,0). Determine the slope S of the graph. Determine the intercept C on the vertical axis. Evaluate K = E/C.

Physics

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2 parts
ix

Value with units, e.g., 5.0VA\text{Value with units, e.g., } 5.0 \frac{\text{V}}{\text{A}}\text{}

x

Value with units, e.g., 0.1 V\text{Value with units, e.g., } 0.1 \text{ V}\text{}

Calculated value, e.g., 100\text{Calculated value, e.g., } 100\text{}

Step-by-step solution

11 steps

Here are the steps for plotting the graph and determining the required values:

Part viii· 4 steps

Plot a graph of V on the vertical axis and I on the horizontal axis, starting both axes from the origin (0,0).

  1. Draw two perpendicular axes on graph paper.

    Label the vertical axis "V (Volts)" and the horizontal axis "I (Amperes)".

  2. Choose a suitable scale for each axis such that the plotted points occupy at least half of the graph paper, ensuring both axes start from the origin (0,0).

  3. Plot the experimental data points $(I, V)$ accurately on the graph.

  4. Draw the best-fit straight line through the plotted points.

Part ix

Value with units, e.g., 5.0VA\text{Value with units, e.g., } 5.0 \frac{\text{V}}{\text{A}}\text{}

Determine the slope S of the graph.

  1. Select two points (I1,V1)(I_1, V_1) and (I2,V2)(I_2, V_2) that lie on the best-fit line and are as far apart as possible.

  2. Calculate the slope S using the formula

    S=V2−V1I2−I1S = \frac{V_2 - V_1}{I_2 - I_1}

  3. Substitute the coordinates of the chosen points and calculate the value of S.

    For example, if (I1,V1)=(0.1 A,0.5 V)(I_1, V_1) = (0.1 \text{ A}, 0.5 \text{ V}) and (I2,V2)=(0.5 A,2.5 V)(I_2, V_2) = (0.5 \text{ A}, 2.5 \text{ V}):

    S=2.5 V−0.5 V0.5 A−0.1 A=2.0 V0.4 A=5.0VAS = \frac{2.5 \text{ V} - 0.5 \text{ V}}{0.5 \text{ A} - 0.1 \text{ A}} = \frac{2.0 \text{ V}}{0.4 \text{ A}} = 5.0 \frac{\text{V}}{\text{A}}

    The slope S is Value with units, e.g., 5.0VA\boxed{\text{Value with units, e.g., } 5.0 \frac{\text{V}}{\text{A}}\text{}}

Part x

Value with units, e.g., 0.1 V\text{Value with units, e.g., } 0.1 \text{ V}\text{}

Determine the intercept C on the vertical axis.

  1. Extend the best-fit line until it intersects the vertical (V) axis.

  2. Read the value of V at the point where the line crosses the vertical axis.

    This value is the intercept C.
    For example, if the line crosses the V-axis at V=0.1 VV = 0.1 \text{ V}:
    The intercept C is Value with units, e.g., 0.1 V\boxed{\text{Value with units, e.g., } 0.1 \text{ V}\text{}}

    xi. Evaluate K=ECK = \frac{E}{C}.

  3. Obtain the value of E (this value is not provided in the question and is assumed to be from a previous part of the experiment).

  4. Substitute the value of E and the determined value of C into the formula for K.

    For example, if E=10 VE = 10 \text{ V} and C=0.1 VC = 0.1 \text{ V}:

    K=10 V0.1 V=100K = \frac{10 \text{ V}}{0.1 \text{ V}} = 100

    The value of K is Calculated value, e.g., 100\boxed{\text{Calculated value, e.g., } 100\text{}}

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