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Study the VI graph for a resistor as shown in the figure and prepare a table showing the values of I (in amperes) corresponding to four different values of V (in volts). Find the value of current for V = 10 volts. How can we determine the resistance of the resistor from this graph? Asked by harjot.arshleen | 21 May, 2021, 06:48: PM Expert Answer
Graph shows the relation between Voltage and current is linear.  Voltage is directly proportional to Current .

Let us assume a relation,   V = k I  ..........................(1)

where V is voltage , I is current and k is constant .

From graph , we get voltage V = 4 Volt when current I is 2 A .

By substituting these voltage and current in eqn.(1) , we get k = 2

Hence relation between Voltage and current ,  V =  2 × I     or    I  = 0.5 V  ...........................(2)

Following table shows current for different voltage

 Voltage V ( Volt ) Current I ( A) 2 1 4 2 6 3 8 4 10 5

From table we see that at voltage 10 V ,  current I = 5 A

Resistance = Voltage / Current

From eqn.(2) , we get , Resistance = V / I = 2 Ω
Answered by Thiyagarajan K | 21 May, 2021, 08:22: PM

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