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Basics Equations


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  GCSE    Basic Electronics  0 of 35    Question 1457    Basics 
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Deadline not set1 of 35    Question 1458    Basics Atom 
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Deadline not set2 of 35    Question 1459    Basics Atom 
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Deadline not set3 of 35    Question 1460    Basics Power 
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Deadline not set4 of 35    Question 1461    Basics Resistance 
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Deadline not set5 of 35    Question 1462    Basics Resistance 
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Deadline not set6 of 35    Question 1463    Basics Resistance 
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Deadline not set7 of 35    Question 1464    Basics Safety 
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Deadline not set8 of 35    Question 1465    Basics Safety 
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Deadline not set9 of 35    Question 1466    Basics Safety 
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Deadline not set10 of 35    Question 1467    Basics Safety 
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Deadline not set11 of 35    Question 1468    Basics Superconductors 
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Deadline not set12 of 35    Question 1469    Basics Voltage 
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Deadline not set13 of 35    Question 1470    Basics Voltage 
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Deadline not set14 of 35    Question 1471    Basics Voltage 
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Deadline not set15 of 35    Question 789    Conductors and Insulators 
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Deadline not set16 of 35    Question 790    Conductors and Insulators 
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Deadline not set17 of 35    Question 234    Control System Modules 
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Deadline not set18 of 35    Question 235    Control System Modules 
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Deadline not set19 of 35    Question 236    Control System Modules 
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Deadline not set20 of 35    Question 237    Control System Modules 
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Deadline not set21 of 35    Question 437    Current Calculation 
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Deadline not set22 of 35    Question 590    Ideal Meters 
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Deadline not set23 of 35    Question 591    Ideal Meters 
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Deadline not set24 of 35    Question 209    Light Emitting Diodes 
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Deadline not set25 of 35    Question 1253    Measuring Current 
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Deadline not set26 of 35    Question 155    Measuring Voltage 
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Deadline not set27 of 35    Question 32    Nature of Charge 
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Deadline not set28 of 35    Question 556    Simple Circuits 
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Deadline not set30 of 35    Question 559    Simple Circuits 
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Deadline not set31 of 35    Question 560    Simple Circuits 
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Deadline not set32 of 35    Question 33    Units - Current 
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Deadline not set33 of 35    Question 172    Units - EMF 
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Deadline not set34 of 35    Question 170    Units - Power 
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Deadline not set35 of 35    Question 168    Units - Resistance 
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GCSE

Resistor colour codes

Black Brown Red Orange Yellow Green Blue Violet Grey White
      0             1             2             3             4             5             6             7             8             9      

Fourth Stripe Tolerance +/-        Gold = 5%        Silver = 10%

E24: 10, 11, 12, 13, 15, 16, 18, 20, 22, 24, 27, 30, 33, 36, 39, 43, 47, 51, 56, 62, 68, 75, 82, 91

Equations:   These are shown on one line with brackets, as you'd enter them into a calculator.

P   =   V2 / R

G   =   1 + R/ R1

    Vout   =   Vin  R2 / ( R1 + R2)    

G   =   - R/ RIN

ID   =   gM VGS

    VOUT   =   - RF ( V1 / R1 + V2 / R2 + ....)    

IC   =   hFE IB

T   =   1.1 R C

A + B   =   A . B

f   =   1 / T

A . B   =   A + B

f   =   1.44 / ( (R1 + 2 R2 ) C )

G   =   VOUT / VIN

TON / TOFF   =   ( R1 + R2 ) / R2


AS Level

E24: 10, 11, 12, 13, 15, 16, 18, 20, 22, 24, 27, 30, 33, 36, 39, 43, 47, 51, 56, 62, 68, 75, 82, 91

      T             G             M             k            m             µ             n             p      
x1012 x109 x106 x103 x10-3 x10-6 x10-9 x10-12

Equations:   These are shown on one line with brackets, as you'd enter them into a calculator.

    C   =   Q / V    

    VRMS   =   V0 / √2    

    C   =   1 / ( 1 / C1 + 1 / C2 )    

    IRMS   =   I0 / √2    

C   =   C1 C2 / ( C1 + C2 )

IC   =   hFE IB

C   =   C1 + C2

ID   =   gM VGS

 

P   =   ID2 rDSon

A + A . B   =    A + B

T   =   R C

   A . B + A   =   (B + 1)   =   A   

   VC   =   V- t / RC   

G   =   VOUT / VIN

   VC   =   V0 ( 1 - e - t / R C )   

G   =   1 + RF / R1

   t   =   - R C ln ( 1 - VC / V0 )   

G   =   - RF / RIN

t   =   - R C ln ( VC / V0 )

    VOUT   =   - RF ( V1 / R1 + V2 / R2 + ....)    

f   ≈   1 / ( R C )

VOUT   =   VS   if   V+   >   V-

f   =   1 / T

VOUT   =   - VS   if   V+   <   V-

T   =   1.1 R C

VOUT   =   VIN

tH   =   0.7 ( R1 + R2 ) C

slew rate   =   Δ VOUT / Δ t

tL   =   0.7 R2 C

slew rate   =   2 π f Vp

   f   =   1.44 / ( (R1 + 2 R2 ) C )   

 

   TON / TOFF   =   ( R1 + R2 ) / R2   

 

Vr   =   I / ( fr C )


A Level

E24: 10, 11, 12, 13, 15, 16, 18, 20, 22, 24, 27, 30, 33, 36, 39, 43, 47, 51, 56, 62, 68, 75, 82, 91

      T             G             M             k            m             µ             n             p      
x1012 x109 x106 x103 x10-3 x10-6 x10-9 x10-12
 

Equations:   These are shown on one line with brackets, as you'd enter them into a calculator.

    C   =   Q / V    

IC   =   hFE IB

    C   =   1 / ( 1 / C1 + 1 / C2 )    

ID   =   gM VGS

C   =   C1 C2 / ( C1 + C2 )

P   =   ID2 rDSon

C   =   C1 + C2

A + A . B   =    A + B

    VRMS   =   V0 / √2    

   A . B + A   =   (B + 1)   =   A   

    IRMS   =   I0 / √2    

 

G   =   VOUT / VIN

f0   =   1 / ( 2 π √ (L C) )

G   =   1 + RF / R1

RD   =   L / ( rL C )

G   =   - RF / RIN

   Q   =   f0 /  bandwidth   =   2 π f0 L / rL   

    VOUT   =   - RF ( V1 / R1 + V2 / R2 + ....)    

   NCH   =   available bandwidth / channel bandwidth   

VOUT   =   VS   if   V+   >   V-

maximum data rate   =   2 x available bandwidth

VOUT   =   - VS   if   V+   <   V-

GdB   =   10 log10 ( POUT / PIN )

VOUT   =   VIN

   SNRdB   =   10 log10 ( PS / PN )   =   20 log10 ( VS / VN )   

slew rate   =   Δ VOUT / Δ t

   m   =   100 ( VMAX - VMIN ) / ( VMAX + VMIN )     %   

slew rate   =   2 π f Vp

β   =   ΔfC / f1

   resolution   =   input voltage range / 2n   

Bandwidth   =   2 ( Δ f0 + f1 ) = 2 ( 1 + β ) f1

XC   =   1 / ( 2 π f C )

c   =   f λ

XL   =   2 π f L

VOUT   =   VDIFF ( RF / R1 )

Z   =   √ ( R2 + X2 )

 

T   =   R C

Vr   =   I / ( fr C )

   VC   =   V0 ( 1 - e - t / R C )   

VL   ≈   VZ ( 1 + RF / R1 )

   VC   =   V- t / RC   

φ   =   tan-1 ( R / XC )

   t   =   - R C ln ( 1 - VC / V0 )   

fb   =   1 / ( 2 π R C )

t   =   - R C ln ( VC / V0 )

VOUT   =   VIN - 0.7

f   ≈   1 / ( R C )

VOUT   =   VIN - 3

f   =   1 / T

PMAX   =   VS2 / ( 8 RL )

T   =   1.1 R C

 

tH   =   0.7 ( R1 + R2 ) C

 

tL   =   0.7 R2 C

 

   f   =   1.44 / ( (R1 + 2 R2 ) C )   

 

   TON / TOFF   =   ( R1 + R2 ) / R2   

 

 

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