Two semiconductors, Silicon and Germanium, are used to build resistors. Both res
ID: 1644055 • Letter: T
Question
Two semiconductors, Silicon and Germanium, are used to build resistors. Both resistors are the same dimensions, height, H = 1.00mm, width, W = 3.00mm and length, L = 5.00mm. The semiconductors have resistivities, rho_Si = 1.50 ohm m, rho_Ge = 0.02002m) (I) Find the resistance of the two resistors (R_Si, L, R_Ge, L), when the resistances are connected length wise (ie. the current Rows along the length L of the resistor) (II) Find the resistance of the two resistors (R_Si, w, R_Ge, w), when the resistances are connected width wise (ie. the current flows along the width W of the resistor) (III) Find the resistance of the two resistors (R_Si, H, R_Ge, H), when the resistance are connected height wise (ie. the current flows along the height H of the resistor) (IV) You connect the two resistors in series, through an electro motive force, epsilon = 3.00V, what is the maximum current you may obtain, given the resistors you have? (V) You connect the two resistors in parallel, through an electro motive force, epsilon = 3.00V, what is the minimum. current you may obtain, given the resistors you have?Explanation / Answer
(I) we know
resistance =resistivity*length/area
if connected length wise
length=length
area=height*width
for Silicon,Resistance=2500
for Germanium,Resistance=33.33 ohm
net resistance=2533.33 ohm
(II)
we know
resistance =resistivity*length/area
if connected width wise
length=width
area=height*length
for Silicon,Resistance=900
for Germanium,Resistance=12
net resistance=912 ohm
(III)
we know
resistance =resistivity*length/area
if connected height wise
length=height
area=length*width
for Silicon,Resistance=100 ohm
for Germanium,Resistance=1.33
net resistance=101.33 ohm
(IV)maximum current when R is minimum
current=0.0296 A
(V)minimum current means resistance is maximum when
both are maximum,R1=2500 and R2=33.33 then .R max=32.9
minimum current=3/32.9=0.09 A
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