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pishuonlain [190]
3 years ago
6

A shunt regulator utilizing a zener diode with an incremental resistance of 8 ohm is fed through an 82-Ohm resistor. If the raw

supply changes by 1.0 V, what is the correspondig change in the regulated outut voltage?
Engineering
1 answer:
spayn [35]3 years ago
7 0

Answer:

\triangle V_0=0.08V

Explanation:

From the question we are told that:

Incremental resistance  R=8ohms

Resistor Feed R_f=82ohms

Supply Change \triangle V=1

Generally the equation for  voltage rate of change is mathematically given by

 \frac{dV_0}{dV}=\frca{R}{R_1r_3}

Therefore

 \triangle V_0=\triangle V*\frac{R}{R_fR}

 \triangle V_0=1*\frac{8}{8*82}

 \triangle V_0=0.08V

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Six housing subdivisions within a city area are target for emergency service by a centralized fire station. Where should the new
Marina86 [1]

Answer:

Explanation:

Since there are six points, the minimum distance from all points would be the centroid of polygon formed by A,B,C,D,E,F

To find the coordinates of centroid of a polygon we use the following formula. Let A be area of the polygon.

C_{x}=\frac{1}{6A} sum(({x_{i} +x_{i+1})(x_{i}y_{i+1}-x_{i+1}y_{i}))     where i=1 to N-1 and N=6

C_{y}=\frac{1}{6A} sum(({y_{i} +y_{i+1})(x_{i}y_{i+1}-x_{i+1}y_{i}))

A area of the polygon can be found by the following formulaA=\frac{1}{2} sum(x_{i} y_{i+1} -x_{i+1} y_{i}) where i=1 to N-1

A=\frac{1}{2}[ (x_{1}  y_{2} -x_{2}  y_{1})+ (x_{2}  y_{3} -x_{3}  y_{2})+(x_{3}  y_{4} -x_{4}  y_{3})+(x_{4}  y_{5} -x_{5}  y_{4})+(x_{5}  y_{6} -x_{6}  y_{5})]

A=0.5[(20×25 -25×15) +(25×32 -13×25)+(13×21 -4×32)+(4×8 -18×21)+(18×14 -25×8)

A=225.5 miles²

Now putting the value of area in Cx and Cy

C_{x} =\frac{1}{6A}[ [(x_{1}+x_{2})(x_{1}  y_{2} -x_{2}  y_{1})]+ [(x_{2}+x_{3})(x_{2}  y_{3} -x_{3}  y_{2})]+[(x_{3}+x_{4})(x_{3}  y_{4} -x_{4}  y_{3})]+[(x_{4}+x_{5})(x_{4}  y_{5} -x_{5}  y_{4})]+[(x_{5}+x_{6})(x_{5}  y_{6} -x_{6}  y_{5})]]

putting the values of x's and y's you will get

C_{x} =15.36

For Cy

C_{y} =\frac{1}{6A}[ [(y_{1}+y_{2})(x_{1}  y_{2} -x_{2}  y_{1})]+ [(y_{2}+y_{3})(x_{2}  y_{3} -x_{3}  y_{2})]+[(y_{3}+y_{4})(x_{3}  y_{4} -x_{4}  y_{3})]+[(y_{4}+y_{5})(x_{4}  y_{5} -x_{5}  y_{4})]+[(y_{5}+y_{6})(x_{5}  y_{6} -x_{6}  y_{5})]]

putting the values of x's and y's you will get

C_{y} =22.55

So coordinates for the fire station should be (15.36,22.55)

5 0
3 years ago
Suppose that you and two classmates are discussing the design of a roller coaster. One classmate says that each summit must be l
Kitty [74]

Answer:

The second classmate is right.

Explanation:

The height of first summit provides the potential energy it will use to climb the following ones.

Ep = m * g * h

Where

m: mass

g: acceleration of gravity

h: height

When the train goes downwards the potential energy is converted into kinetic energy (manifested as speed) and when it climbs it consumes its kinetical energy. As long as no summit is taller than the first the train should have enough energy to climb them.

Also it must be noted that friction also consumes energy, and if the track is too lomg all the energy might be consumed by it.

8 0
3 years ago
an inclined manometer is connected to a pitor tube to measure the velocity at the center of a circular duct. If the inclined man
jekas [21]
57.5 m/s
I did 2.3/0.04
I’m not sure if it’s correct though
8 0
3 years ago
This fluid may be mixed with engine oil for recycling.
alisha [4.7K]

Answer: D

Explanation:

5 0
3 years ago
Estimate the chronic daily intake of toluene from exposure to a city water supply that contains a toluene concentration equal to
enot [183]

Answer:

The chronic daily intake is 0.0328608 mg/kg day

Explanation:

The CDI due to ingestion is equal to:

CDI=\frac{C*IR*ED*EF}{BW*AT}

Where

C = concentration = 1 mg/L

IR = 2.3 L/day

ED = risk dying per year = 70 year

EF = number of days per year = 365 days

AT = average tenure time = 75 year

BW = weight of body = 65.4 kg

CDI=\frac{1*2.3*70*365}{65.4*365*75} =0.0328mg/kgd

The ingestion rate is:

IR = 20/60 = 0.333 h/day

The CDI due to dermal contact is equal to:

CDI_{2} =\frac{1*1.69*9x10^{-6}*0.333*70*365 }{65.4*365*75}*0.8x10^{3}  =5.41x10^{-5} mg/kgd

The CDI due to inhalation is equal to:

CDI_{3} =\frac{0.001*0.471*70*365}{65.4*365*75} =6.7x10^{-6} mg/kgd

The total is:

CDItotal = 0.0328 + 5.41x10⁻⁵ + 6.7x10⁻⁶ = 0.0328608 mg/kgday

4 0
4 years ago
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