Show four different ways in which four resistors of each may be connected in a circuit. In which case is the equivalent resistance of the combination:
(i) maximum;
(ii) minimum?
Show four different ways in which four resistors of each may be connected in a circuit. In which case is the equivalent resistance of the combination:
(i) maximum;
(ii) minimum?
The four different ways in which four resistors of each may be connected in a circuit are shown in the figure below. In case (i), the equivalent resistance of the combination is maximum. In case (ii), the equivalent resistance of the combination is minimum.
Marking Scheme
- 1The equivalent resistance of a series circuit is the sum of the individual resistances.
- 2In case (i), the equivalent resistance is .
- 3In case (ii), the equivalent resistance is rac{r}{4}.
Hint
The equivalent resistance of a series circuit is the sum of the individual resistances.
Quick Oral Answer
The equivalent resistance of a series circuit is the sum of the individual resistances. In case (i), the equivalent resistance is . In case (ii), the equivalent resistance is rac{r}{4}. Therefore, the equivalent resistance of the combination is maximum in case (i) and minimum in case (ii).
Analysis & Explanation
The equivalent resistance of a series circuit is the sum of the individual resistances. In case (i), the equivalent resistance is . In case (ii), the equivalent resistance is rac{r}{4}. Therefore, the equivalent resistance of the combination is maximum in case (i) and minimum in case (ii).
Common Mistakes
- 1The equivalent resistance of a series circuit is not the sum of the individual resistances.
- 2In case (i), the equivalent resistance is not .
- 3In case (ii), the equivalent resistance is not rac{r}{4}.
Interesting Facts
The equivalent resistance of a series circuit is the sum of the individual resistances.
In case (i), the equivalent resistance is .
In case (ii), the equivalent resistance is rac{r}{4}.
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Frequently Asked Questions
How many marks does this question carry in CBSE Class 10 Science 2014?
This question carries 3 marks in the CBSE Class 10 Science 2014 examination.
Which chapter does this question come from in Science?
This question is from the chapter "Chemical Reactions and Equations" in the CBSE Class 10 Science syllabus.
What topic does this question cover in Science?
This question covers the topic "Chemical Reactions and Equations" from CBSE Class 10 Science.
What type of question is this in the CBSE Class 10 Science 2014 paper?
This is a Short Answer question from Section SECTION-A in the CBSE Class 10 Science 2014 paper.