Circuits

Question 1

V (from I,R)

Answer 1

IR

Question 2

P - Power (from I, V)

Answer 2

i∆V

Question 3

P - Power (from I, R)

Answer 3

I^2R

Question 4

P - Power (from V, R)

Answer 4

(∆V)^2/R

Question 5

R_net in series

Answer 5

∑R_i

Question 6

R_net in parallel

Answer 6

1/∑(1/R_i)

Question 7

R (based on physical characteristics)

Answer 7

ρℓ/A; ρ is the resistivity, ℓ with length

Question 8

C; Capacitance (from Q, ∆V)

Answer 8

Q/∆V; Q - charge stored, ∆V from that charge

Question 9

C; Capacitance for Parallel plate Capacitance (from physical characteristics)

Answer 9

κ(ε_0)A/d; κ - dielectric constant; ε_0 - permittivity of free space, A - Area of plate, d - distance between plates

Question 10

U_C; Energy stored in a capacitor

Answer 10

0.5C∆V^2, 0.5Q∆V; not Q∆V because ∆V decreases as Q leaves. Q is charge on one side, net is zero

Question 11

C_net,p (parallel)

Answer 11

∑C_i

Question 12

C_net,s (series)

Answer 12

1/∑(1/C_i)

Question 13

Charge of capacitors in series

Answer 13

is the same

Question 14

Current between series components

Answer 14

is the same

Question 15

Voltage between series components

Answer 15

is the same

Question 16

Q of charging RC circuit (with τ)

Answer 16

C∆V(1-e^(-t/τ))

Question 17

Q of charging RC circuit (without τ)

Answer 17

C∆V(1-e^(-t/(RC)))

Question 18

I of charging RC circuit (with τ)

Answer 18

∆V/R(e^(-t/τ)

Question 19

I of charging RC circuit (without τ)

Answer 19

∆V/R(e^(-t/(RC))

Question 20

Kirchoff Loop Rule for charging RC circuit

Answer 20

V_b - IR - Q/C = 0, V_b - RdQ/dt - Q/C = 0

Question 21

Kirchoff Loop Rule for discharging RC circuit

Answer 21

Q/C - IR, Q/C + RdQ/dt = 0

Question 22

V of discharging RC circuit

Answer 22

V_0*e^(-t/(RC))

Question 23

Q of discharging RC circuit

Answer 23

Q_0e^(-t/(RC)), CVe^(-t/(RC))

Question 24

I of discharging RC circuit

Answer 24

I_0*e^(-t/(RC)), V_0/R * e^(-t/(RC))