### AC Fundamentals Objectives Part 08

141 90<33.7°+25.5<11.3°=𝟑.𝟓<−45°.

142 When 𝑣1=47sin𝜃 and 𝑣2=33(sin∅+20°) then (𝑣1−𝑣2)is given by 𝟏𝟗.𝟓𝟗𝐬𝐢𝐧(∅−𝟑𝟓°).

143 The average power of an circuit is 𝑬𝒗𝑰𝒗𝐜𝐨𝐬∅.
Question 144 and 145 refer to data given below:

144 If 𝑣1=47sin𝜃 and 𝑣2=33(sin∅+20°) then (𝑣1+𝑣2)will be equal to 𝟕𝟕.𝟖𝐬𝐢𝐧(∅+𝟖.𝟑°).

145 (𝑣1−𝑣2)will be equal to 𝟏𝟗.𝟓𝟗𝐬𝐢𝐧(∅−𝟑𝟓°).

146 A certain 50 Hz current sine wave reaches 200 mA at 𝑡=2.5 𝑚𝑠. The peak value of this current sine wave is 382.8 mA.
Question 147 and 149 refer to data given below:
Sine wave A has a peak and amplitude of 50 V and a frequency of 60 Hz. Sine wave B has a peak amplitude of 30 V at the same frequency and leads sine wave A by 45°,

147 The expression for wave B is 𝟑𝟎𝐬𝐢𝐧(𝟑𝟕𝟕 𝒕+𝝅𝟒).

148 At 𝑡=1 ms the instantaneous value of A will be 18.5 V.

149 At 𝑡=1 ms the instantaneous value of B will be 27.5 V.

50 When 𝑣1=115<0°, 𝑣2=115<-120° and 𝑖1=22<73°, the 𝑍=𝑣1+𝑣2𝑖1 will be equal to 𝟓.𝟐𝟑<−133°.

151 For the voltage waveform shown in figure, the frequency is 16 kHz.

152 When 𝑣1 = 10 sin 𝜃, 𝑣2 = 15 sin(𝜃 − 15°), 𝑣3 = 20 sin(𝜃 + 10°) and 𝑣4 =
18 sin(𝜃 + 25°) then the resultant of 𝑣1 + 𝑣2 + 𝑣3 − 𝑣4 will be 𝟑𝟎 𝐬𝐢𝐧(∅ − 𝟏𝟓. 𝟑°).
Question 153 and 154 refer to data given below:
𝑣1 = 45 < 30°, 𝑣2 = 27 < 21°, 𝑣3 = 30 < 42°

153 (𝑣1 + 𝑣2 − 𝑣3) will be equal to 𝟒𝟑. 𝟔 < 16.1°.

154 (𝑣1 − 𝑣2 − 𝑣3) will be equal to 𝟏𝟏. 𝟐 < 220.7°.

155 Match the following:Wave Form factor(a) Sine (i) 1.0(b) Half wave rectified sin wave (ii) 1.11
(c) Rectangular (iii) 1.16(d) Triangular (iv) 1.57𝒂 − (𝒊𝒊), 𝒃 − (𝒊𝒗), 𝒄 − (𝒊), 𝒅 −(iii).

## Chapter # 4 RLC Circuits

156 A capacitor offers easy path to a.c. but blocks d.c.

157 The unit of inductive susceptance is Siemens.

158 An inductor supplied with 50 V ac with a frequency of 10 kHz passes a current of 7.96 mA. The value of inductor is 100 mH

159 When a 100-mA alternating current with a frequency of 1 kHz flows in the primary of two
coupled coils, the secondary voltage is 1 V. The mutual inductance between the coils is I.59 mH.

60 In a.c. circuit, the power is consumed only in r e s i s t a n c e .