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Chapter 27: Q9Q (page 794)

Two resistors are wired to a battery.

(a) In which arrangement, parallel or series, are the potential differences across each resistor and across the equivalent resistance all equal?

(b) In which arrangement are the currents through each resistor and through the equivalent resistance all equal?

Short Answer

Expert verified
  1. In the parallel arrangement the potential difference across each resistor and the equivalent resistance is same.
  2. In the series arrangement the current across each resistor and the equivalent resistance is same.

Step by step solution

01

Step 1: Given

Two resistors are wired to a battery

02

Determining the concept

In the parallel arrangement, the voltage across all resistances is same. In the series arrangement, the current through all resistances is same

03

(a) determining in which arrangement the potential difference across each resistor and the equivalent resistance is same

In the parallel arrangement, the voltage across all resistances is same as well as the voltage across the equivalent resistance is the same as that of individual resistance.

04

(b) Determining in which arrangement the current across each resistor and the equivalent resistance is same

In the series arrangement, the current through all resistances is same as well as the current through the equivalent resistance is same as that of individual resistances.

Therefore, in parallel arrangement, the voltage remains same through all resistance while in series arrangement, the current through the circuit is same.

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Most popular questions from this chapter

In Fig. 27-54, the resistances areR1=1.0 ΩandR2=2.0 Ω , and the ideal batteries have emf ε1=2.0Vand ε2=ε3=4.0V. What are the (a) size and (b) direction (up or down) of the current in battery 1, the (c) size and (d) direction of the current in battery 2, and the (e) size and (f) direction of the current in battery 3? (g) What is the potential difference Va−Vb?

A 5.0 A current is set up in a circuit for 6.0 min by a rechargeable battery with a 6.0 V emf. By how much is the chemical energy of the battery reduced?

Question: An initially uncharged capacitor C is fully charged by a device of constant emf connected in series with a resistor. R (a) Show that the final energy stored in the capacitor is half the energy supplied by the emf εdevice. (b) By direct integration of i2Rover the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.

Figure 27-24 shows three sections of circuit that are to be connected in turn to the same battery via a switch as in Fig. 27-15. Theresistors are all identical, as are the capacitors. Rank the sections according to (a) the final (equilibrium) charge on the capacitor and (b) the time required for the capacitor to reach 50% of its final charge, greatest first.

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