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(a) In Fig. 27-18a, with,R1>R2is the potential difference across more than, lessR2than, or equal to that acrossR1?

(b) Is the current through resistor R2 more than, less than, or equal to that through resistorR1?

Short Answer

Expert verified
  1. The potential difference acrossR2 is same that of acrossR1.
  2. The current acrossR2 is more than that of across.R1

Step by step solution

01

Step 1: Given

R1>R2

02

Determining the concept

If the resistances are connected in parallel, then the voltage across the resistances is same only the current gets divided. And the value of the current depends only on the resistance because the voltage is same in parallel arrangement.

V=IR,where, V is voltage, I is current and R is resistance.

As in parallel arrangement V is same soI=1Rmeans greater the resistance, less is current and vise- versa.

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

Formulae are as follow:

I=VR

Where, I is current, V is voltage, R is resistance.

03

(a) Determining the potential difference across R2  more than, less than or equal to that of across R1

Here, infig2718a, the resistanceR1&R2are in parallel arrangement. So, the voltage difference across them is same.

Hence, the potential difference acrossR2 is same that of across R1.

04

(b) Determining the current across R2  more than, less than or equal to that of acrossR1

As the voltage is same in parallel arrangement, the current depends only on the resistance from Ohm鈥檚 law.

I=VR

V is constant for parallel arrangement. So,

I1R

in fig2718a,the resistance R1>R2hence,I2>I1 because the current is inversely proportional to the resistance.

Hence, the current acrossR2 is more than that of across.R1

Therefore, compare the current and the potential difference across the resistances using the concept of parallel arrangement of the resistances and the equation of Ohm鈥檚 law.

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