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Chapter 27: Q. 69 (page 765)

A 1.5Vflashlight battery is connected to a wire with a resistance of 3.0Ω. FIGURE P27.69 shows the battery's potential difference as a function of time. What is the total charge lifted by the charge escalator?

Short Answer

Expert verified

The total charge lifted by the charge escalator is θ=1800C.

Step by step solution

01

Given information

A 1.5Vflashlight battery is connected to a wire with a resistance of 3.0Ω. Given picture shows the battery's potential difference as a function of time.

02

Explanation

Given that, Resistance (R)=3Ω

The rate of flow of electrical charge dθ=1dt

Hence, the total charge θ=∫Idt

=∫VRdt

=1R∫Vdt

where, Vindicates voltage=1.5

Rindicates Resistance =3

dtindicates time

∫vdt=Area of triangle=bh2

θ=131.5×2×60×602

=135400

θ=1800C

The total charge lifted by the charge escalator is 1800c

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