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Equivalent Resistance of a System of Resistor

Three student...

Question

Three students (A), (B) and (C) connect their two given resistors R₁ and R₂ in the manners shown below:

They connect the terminals marked X and Y above to the terminals marked X and Y in the circuit given below:

They record the ammeter reading (I) for different positions of the rheostat and the corresponding Voltmeter readings (V).
The average value of the ratio V/I in their observations would be minimum for :
(1) students (A) and (B) only
(2) students (B) and (C) only
(3) students (C) and (A) only
(4) student (A) only

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Solution

According to Ohm's law, we can say that the ratio, $\frac{V}{I} = Total resistance$ .

The resistors in combination made by student A are connected in parallel, while the resistors in combinations made by students B and C are connected in series. So, the total resistance between point X and Y will be minimum when the resistors are in parallel. That's why the voltage and current ratio would be minimum for student A only.

Hence, the correct answer is option 4.

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Q. The values of resistances marked on the coils R₁ and R₂ are found to be correct. A student connects the given resistors in the following manner (as shown in Figure 1).

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Q. Two students (A) and (B) connect their two given resistors R₁and R₂ in the manners shown below :

Student (A) connects the terminals marked (b₁) and (c₁) while student (B) connects the terminals marked (d₂) and (c₂) in their respective circuits at the points marked X and Y.
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(1) both the students will determine the equivalent resistance of the series combination of the two resistors.
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Q. In the experiment on finding the equivalent resistance of two resistors connected in series, three students connected the ammeter in their circuits in the three ways X, Y and Z shown here.

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Q. To study the dependence of current (I) on the potential difference (V) across a resistor, two students used the two set ups shown in figs (A) and (B) respectively. They kept the contact J in four different positions, marked (a), (b), (c), (d) in the two figures.

For the two students, their Ammeter and Voltmeter readings will be minimum when the contact J is in the position:

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Equivalent Resistance of a System of Resistor

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