4 cell each of emf \(2 \mathrm{v}\) and internal resistance of \(1 \Omega\) are connected in parallel to a load resistor of \(2 \Omega\) Then the current through the load resistor is.... (A) \(2 \mathrm{~A}\) (B) \(1.5 \mathrm{~A}\) (C) \(1 \mathrm{~A}\) (D) \(0.888 \mathrm{~A}\)

Short Answer

Expert verified
The current through the load resistor is \(0.888 \mathrm{~A}\) (Option D).

Step by step solution

01

Find the equivalent emf and internal resistance of the parallel combination of cells

When cells are connected in parallel, the emf remains the same, but the internal resistance decreases. For 'n' cells connected in parallel, the equivalent internal resistance (R_eq) is given by: \[R_{eq} = \frac{R}{n}\] In our case, there are 4 cells with internal resistance of 1 ohm each, so, \[R_{eq} = \frac{1}{4}\] Thus, the equivalent emf is 2V and the equivalent internal resistance is \(0.25\Omega\).
02

Use Ohm's law to find the current through the load resistor

Now that we have the equivalent emf and internal resistance, we can treat the parallel combination of cells as a single cell with these values. The total resistance of the circuit will be the sum of the load resistor and the equivalent internal resistance. According to Ohm's law, the current (I) passing through the load resistor would be: \[I = \frac{E_{eq}}{R_{eq} + R_L}\] where \(E_{eq}\) is the equivalent emf (2V), \(R_{eq}\) is the equivalent internal resistance (\(0.25\Omega\)), and \(R_L\) is the load resistor (2 ohms): \[I = \frac{2}{0.25 + 2}\] Calculating this, we get: \[I = \frac{2}{2.25}\] \[I = 0.888 \mathrm{~A}\] Thus, the current through the load resistor is \(0.888 \mathrm{~A}\), which corresponds to option (D).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Two wires of equal lengths, equal diameters and having resistivities \(\rho_{1}\) and \(\rho_{2}\) are connected in series The equivalent resistivity of the combination is.... (A) \(\left(\rho_{1}+\rho_{2}\right)\) (B) \((1 / 2)\left(\rho_{1}+\rho_{2}\right)\) (C) $\left\\{\left(\rho_{1} \rho_{2}\right) /\left(\rho_{1}+\rho_{2}\right)\right\\}$ (D) \(\left.\sqrt{(} \rho_{1} \rho_{2}\right)\)

\(2 \mathrm{~A}\) current is obtained when a \(2 \Omega\) resistor is connected with battery having \(r \Omega\) as internal resistance \(0.5 \mathrm{~A}\) current is obtained if the above battery is connected to \(9 \Omega\) resistor. Calculate the internal resistance of the battery. (A) \(0.5 \Omega\) (B) \((1 / 3) \Omega\) (C) \((1 / 4) \Omega\) (D) \(1 \Omega\)

Resistors \(P\) and \(Q\) connected in the gaps of the meter bridge. the balancing point is obtained \(1 / 3 \mathrm{~m}\) from the zero end. If a \(6 \Omega\) resistance is connected in series with \(\mathrm{p}\) the balance point shifts to \(2 / 3 \mathrm{~m}\) form same end. \(\mathrm{P}\) and \(\mathrm{Q}\) are. (A) 4,2 (B) 2,4 (C) both (a) and (b) (D) neither (a) nor (b)

The drift velocity of free electrons in a conductor is \(\mathrm{V}\), when a current. \(I\) is flowing in it If both the radius and current are doubled, then drift velocity will be. (A) \((\mathrm{V} / 4)\) (B) \((\mathrm{V} / 2)\) (C) \(4 \mathrm{~V}\) (D) \(2 \mathrm{~V}\)

Assertion and reason are given in following questions each question has four options one of them is correct select it. (a) Both assertion and reason are true and the reason is correct reclamation of the assertion. (b) Both assertion and reason are true, but reason is not correct explanation of the assertion. (c) Assertion is true, but the reason is false. (d) Both, assertion and reason are false. Assertion: A potentiometer of longer length is used for accurate measurement. Reason: The potential gradient for a potentiometer of longer length with a given source of e.m.f become small. (A) a (B) \(b\) (C) (D) d

See all solutions

Recommended explanations on English Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free