Question

What potential difference is measured across a 19.9 Ω load resistor when it is connected across a battery of emf 2.46 V and internal resistance 0.561 Ω? Answer in units of V.

Answer 1

2.388 V

Step-by-step explanation:

Using

E = I(R+r).............. Equation 1

Where E = emf, I = current, R = External resistance, r = internal resistance

I = E/(R+r)............ Equation 2

Given: E = 2.46 V, R = 19.9 Ω, r = 0.561 Ω substitute into equation 2 to get the current

I = 2.46(19.9+0.561)

I = 2.46/20.461

I = 0.12 A.

From Ohm's Law,

V = IR...................... Equation 3

Where V = Potential difference across the 19.9 Ω resistor

Substitute the value of I and R into equation 3

V = 19.9(0.12)

V = 2.388 V

Answer 2

The potential difference measured is 2.388 V.

Step-by-step explanation:

E = I(R + r)

E is the emf (electromotive force) of the battery = 2.46 V

R is the resistance of the resistor = 19.9 ohms

r is the internal resistance = 0.561 ohm

I (current) = E/(R + r) = 2.46/(19.9 + 0.561) = 2.46/20.461 = 0.12 A

V (potential difference) = IR = 0.12 × 19.9 = 2.388 V