Other Math Answers

f(2)=[1500+500(2)]/2

Thevenin’s Circuits

Thevenin’s theorem states that it is possible to simplify any circuit, no matter how complex, to an equivalent circuit with just a single voltage source and a single series resistor. Working to an accuracy of three decimal places and correctly rounding up/down at each calculation you are requested to;

a) Calculate the open circuit voltage VTHEV

b) Calculate the open circuit resistance RTHEV

c) Draw Thevenin’s equivalent circuit

d) Calculate the current flowing through the load resistor RL

e) Calculate the voltage across the load resistor RL

f) Calculate the power dissipated by the load resistor RL

g) Calculate the voltage across the Thevenin’s equivalent resistance RThev

h) Prove that your answers for steps d), e), f) and g) are correct by simulating your Thevenin’s Equivalent Circuit using the Proteus simulation software and inserting appropriate meters. 

(It is important that you import your Proteus circuits into WORD as part of your submission)

Maximum Power Transfer

The Maximum Power Transfer Theorem states that the maximum amount of power will be dissipated by a load resistance when that load resistance is equal to the Thevenin/Norton resistance of the network supplying the power. You are requested to demonstrate this by calculating the power dissipated in the load of your ‘original’ Thevenin equivalent circuit (see task 1) when the load resistance is;

a) ½ of your Thevenin resistance

b) Equal to your Thevenin resistance

c) 2 times your Thevenin resistance

d) Verify your calculations using the Proteus software package

(It is important that you import your Proteus circuits into WORD as part of your submission.)

Norton’s Circuit

Norton’s theorem states that it is possible to simplify any circuit, no matter how complex, to an equivalent circuit with just a single current source and parallel resistance. Using the same ‘individual’ circuit parameters as in task 1) and working to an accuracy of three decimal places and correctly rounding up/down at each calculation you are requested to;

a) Calculate the short circuit current INORT

b) Calculate the open circuit resistance RNORT

c) Draw Norton’s equivalent circuit

d) Calculate the current flowing through the load resistor RL

e) Calculate the voltage across the load resistor RL

f) Calculate the power dissipated by the load resistor RL

g) Prove that your answers for steps d), e) and f) are correct by simulating your Norton’s equivalent circuit using the Proteus simulation software and inserting appropriate meters.

(It is important that you import your Proteus circuits into WORD as part of your submission)

Use Taylor’s theorem to derive Euler’s (first-order Taylor) method for the solution of the given initial value

problem.

y0 = f(t, y), a<=t<=b, y(a) = z

suppose the investors rate is 9% in the 50,000 7.5% pound with coupon paid semi-annually the bodies redeemable on june 1 2006 and is now both on july 1 1999 find the price of the bond if the bond is redeemable at 110% in brainly