**Casio Classpad Functions: Coordinate, Bearing, Slope, Triangle Area, Electric Oscillation, RLC Impedance**

Nothing like doing some programming while on vacation. :)

**Civil Engineering/Geometry: tcoordin, bearing, cslope, aritri**

For the following, enter coordinates in complex number
format: (east coordinate) + (north
coordinate)*I (x + y*i). For example, enter the coordinate (3, 6) as
3+6i.

**Coordinate Calculation - tcoordin**

Inputs: pt, len, ang

pt = point 0, enter as a complex number

len = length of travel

ang = bearing angle (treated as degrees)

Output:

Point 1 (as a complex number)

Function:

approx(pt+compToRect(∠(len,ang°)))

Example:

tcoordin(4 + 5*i, 24.2, -10) returns 27.83234762+0.7977141005*i

**Bearing Angle (from East) – bearing**

Inputs: pt1, pt2

pt1 = point 1, enter as a complex number (start)

pt2 = point 2, enter as a complex number (end)

Output:

A list of two elements:
length, bearing from point 1 (depending on setting)

Function:

approx({abs(pt2-pt1),arg(pt2-pt1)})

Example:

bearing(-2.2+3i, 4+2i) returns {6.280127387, -9.162347046}
(degree mode)

**Slope Between two Points (extra) – cslope**

Inputs: pt1, pt2

pt1 = point 1, enter as a complex number (start)

pt2 = point 2, enter as a complex number (end)

Output: Slope from
point 1 to point 2.

Function:

approx(im(pt2-pt1)/re(pt2-pt1))

Example:

cslope( 7+7i, 2+16i ) returns -1.8

**Area of a Triangle knowing the Vertex Points – aritri**

Inputs: pt1, pt2, pt3

pt1 = point 1, enter as a complex number

pt2 = point 2, enter as a complex number

pt3 = point 3, enter as a complex number

Output: area of the
triangle

Function:

approx(abs(.5*(re(p1-p2)*im(p3-p1)+re(p1-p3)*im(p1-p2))))

Example:

aritri(0, 4+7i, 2+5i) returns 3

0 = 0 + 0i

**Electrical Functions: rlcserim, rlcparim, freqosc**

Functions for RLC posted are now corrected - EWS 6/26/2016

**Impedance of an RLC Series Circuit: rlcserim**

Inputs:

r = resistance (in Ohms)

c = capacitance (in Farads)

l = inductance (in Henrys)

f = frequency (in Hertz)

Output:

z = impedance (in Ohms)

Function:

approx(√(r^2+(2*π*f*l-1/(2*π*f*c))^2))

Example:

rlcserim(10, 500E-6, 2E-3, 2000) returns 26.90130131 ohms

**Impedance of an RLC Parallel Circuit: rlcparim**

Inputs:

r = resistance (in Ohms)

c = capacitance (in Farads)

l = inductance (in Henrys)

f = frequency (in Hertz)

Output:

z = impedance (in Ohms)

Function:

approx(1/√((1/r)^2+(2*π*f*c-1/(2*π*f*l))^2))

Example:

rlcparim(40, 550E-6, 2E-3, 1000) returns 0.2961851056

**Frequency of Electric Oscillation – freqosc**

Inputs:

l = coil self-inductance (in Henrys)

c = capacitance (in Farads)

Output:

f = frequency (in Hertz)

Function:

approx(1/(2*π*√(l*c)))

Example:

freqosc(550E-6, 2E-3) returns 151.7482841

**Sources:**

Casio. “fx-FD10 Pro
User’s Guide” and “fx-50F Plus User’s Guide”.
2014 and 2006, respectively

This blog is property of Edward Shore, 2016.

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