Handbook for Sound Engineers

Resistors, Capacitors, and Inductors 269

Parallel circuits

(10-44)

Series circuits

(10-45)

Resistance and inductance in series

(10-46)

(10-47)

Resistance and capacitance in series

(10-48)

(10-49)

Inductance and capacitance in series when XL is larger
than XC

(10-50)

Inductance and capacitance in series when XC is larger
than XL

(10-51)

Resistance, inductance, and capacitance in series

(10-52)

(10-53)

Resistance and inductance in parallel

(10-54)

Capacitance and resistance in parallel

(10-55)

Capacitance and inductance in parallel when XL is larger

than XC

(10-56)

Capacitance and inductance in parallel when XC is

larger than XL

(10-57)

Inductance, capacitance, and resistance in parallel

(10-58)

(10-59)

Inductance and series resistance in parallel with

resistance

(10-60)

(10-61)

Inductance and series resistance in parallel with

capacitance

(10-62)

(10-63)

Capacitance and series resistance in parallel with induc-

tance and series resistance

Z RX

R^2 +X^2

=----------------------

ZR^2 += X^2

ZR^2 += XL^2

T

XL

R

= atan----- -

ZR^2 += XC^2

T

XC

R

= atan------

ZXL–= XC

ZXC–= XL

ZR^2 += XL–XC^2

T

XL–XC

R

= atan-------------------

Z

RXL

R^2 +XL^2

=-------------------------

Z

RXC

R

2

XC

2

+

= -------------------------

Z

XLuXC

XL–XC

-------------------=

Z

XCuXL

XC–XL

-------------------=

Z

RXLXC

XL^2 XC^2 +R^2 XL–XC^2

= -------------------------------------------------------------

T

RX (^) L–XC
XLXC
= atan----------------------------
ZR 2
R 12 +XL^2
R 1 +R 22 +XL^2
= -----------------------------------------
T
R 2 XL
R 12 ++XL^2 R 1 R 2
= atan------------------------------------------
ZXC
R^2 +XL^2
R^2 + XL–XC^2
= ---------------------------------------
T
XL XC–XL –R^2
RXC
= atan------------------------------------------