In a parallel combination of resistors, the total resistance of the circuit is the individual resistances.

equal to

No worries! We‘ve got your back. Try BYJU‘S free classes today!

less than

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

greater than

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B less than
When resistors are connected in parallel, the equivalent resistance is less than the lowest resistance in the circuit.
Proof is as follows:
As we know when $R_{1}, R_{2}, R_{3} . . . R_{n}$ resistors are connected in parallel circuit, the equivalent resistance of the circuit is
$\frac{1}{R_{e q}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} . . . \frac{1}{R_{n}}$
$\frac{1}{R_{e q}} \geq \frac{1}{R_{i}} \forall \in {1, 2, 3, . . . ., n}$
$⟹ R_{e q} \leq R_{i}$

Suggest Corrections

Similar questions

Q. (a) What is meant by series and parallel combination of resistances?
(b) In which case, series combination or parallel combination, the combined resistance is less than any of the individual resistances?
(c) How should two resistances of 2 Ω each be connected so as to produce an equivalent resistance of 1 Ω?
(d)

In the circuit diagram given here, find:
(i) total resistance of the circuit,
(ii) total current flowing in the circuit, and
(iii) the potential difference across R₁

Q. In a parallel combination of resistors, the total resistance of the circuit is the individual resistances.

Q. Does the equivalent resistance in parallel circuit more or less than the resistance of any of the individual resistors

Q. In a series combination of resistors, the effective resistance is lesser than any of the individual resistances.

Assertion (A): When resistors are connected in parallel, the effective resistance of the combination is less than the individual resistances.

Reason (R): When resistors are connected parallel, the effective area of cross-section increases and the resistance is inversely proportional to the area of cross-section.

Join BYJU'S Learning Program