Answer:
<em> The number of bulbs = 46 bulbs</em>
Explanation:
Ohm's Law: Ohm's law states that the current flowing through a conductor is directly proportional to its potential difference across its ends. At constant temperature and pressure. It can be expressed mathematically as
V = IR............. Equation 1
making R the subject of formula in equation 1
R = V/I.............. Equation 2
Where R = combined resistance of the several bulbs, V = potential difference, I = current through the circuit.
<em>Given: V= 115 V. I = 2 A.</em>
<em>Substituting these values into equation 2,</em>
<em>R = 115/2</em>
<em>R = 57.5 Ω</em>
<em>Since the bulbs are connected in series,</em>
Number of bulbs = combined resistance/resistance of each bulb
Number of bulbs = R/Rₙ...................... Equation 3
Where Rₙ = resistance of each bulb, R =combined resistance of the bulb.
<em>Also given: Rₙ = 1.25 Ω, and R = 57.5 Ω</em>
<em>Substituting these values into equation 3</em>
<em>Number of bulbs</em><em> = 57.5/1.25</em>
<em>Number of bulbs = 46 bulbs.</em>
<em>Therefore the number of bulbs = 46 bulbs</em>
