CBSE Class 10 Answered
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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