Electrical Science Essay Example | Topics and Well Written Essays - 1000 words

Electrical science - Essay ExampleFrom the menstruation divider rule, the current flowing in a circuit divides itself harmonise to the ratio of the resistance. For a two resistor circuit comprised of resistors R1 and R2 the current through R2 is given over by... 16V-9I1+9I3-12I3=016-9I1-3I3=0Loop 2I312- (I3- I2)5-(I2 8)=012I3-5I3+5I2-8I2= 0 7I3-3I2= 0Loop 3 (I1-I3) 9+ (I3- I2) 5-(I1-I2) 6=09I1-9I3+5I3-5I2-6I1+6I2=03I1- 4I3 + I2=0 resolve the three comparisons 16-9I1-3I3=0(i)7I3-3I2= 0(ii)3I1- 4I3 + I2=0 (iii)Solving the simultaneous equations From equation (ii)7I3=3I2(iv)Substituting equation (iv) to equation (iii) we worry 3I1- 4I3 + =03I1-1.67I3=0 (v)Solving equation 1 and (v)16-9I1-3I3=03I3+9I1= 16 (vi)3I1-1.67I3=0(vii)Multiplying equation (Vii) by 3 we get 9I1-5I3=09I1+3I3=16Subtracting the two equations to eliminate I1 we get -8I3=-16I3= 2Solving for I1 we get 9I1 +6=16I1= Solving for I2 we get = Therefore the current through the 5 ohm resistor is given by IR2= I3- I2IR2= 2-4.67 = -2.67 Meaning that the current flows in the opposite direction as shown in the figure below IR2= 2-4.67 = -2.67 QUESTION 3 top dog 3.1 surmise For an AC circuit connected in series as shown below The impendence Z is given by Z= R+ j XZ is the impedanceR is the resistance X is the reactance The reactance of a circuit comprises of the capacitive reactance and the inducive reactance and is given byX=XL-XCWhere X is the reactance XL is the inductive reactance given by XC is the capacitive reactance CalculationsCapacitive reactance= = = 15.92Inductive reactance = = 47.1 H The magnitude of impedance= Z= 31.75Question 3.1 b Theory For a RLC ac circuit with the XL being greater than XC , the current leads the voltage and the phasor diagram is as shown below The form angle is given by The power federal agent for an ac circuit is given by Power factor = The power of a single phase circuit is given by