The phase difference between the current and the voltage in an AC circuit containing resistance and inductance (RL circuit) depends on the values of the resistance (R) and inductive reactance (XL). The inductive reactance is given by the formula: XL=2πfL where: f is the frequency of the AC source L is the inductance of the coil Substituting the given values: f=
50
π
Hz L=1H We get: XL=2π(
50
π
)×1 XL=100Ω The phase angle φ between the current and the voltage is given by the equation: tanφ=
XL
R
Given: R=100Ω So: tanφ=
100
100
=1 The angle φ whose tangent is 1 is 45 degrees: φ=45∘ Thus, the phase difference between the current and voltage is 45 degrees. The correct answer is Option D: 45∘.