- #1
Orion1
- 973
- 3
If two resistors with resistances R1 and R2 are connected in parallel, then the total resistance Rt, measured in ohms, is:
[tex]\frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
If R1 and R2 are increasing at rates:
[tex]\frac{d \Omega_1}{dt} = 0.3 \; \; \frac{d \Omega_2}{dt} = 0.2 \; \; R_1 = 80 \; \Omega \; \; R_2 = 100 \; \Omega[/tex]
How fast is Rt changing?
[tex]\frac{d \Omega_t}{dt} = \frac{d}{dt} \left( \frac{1}{R_1} + \frac{1}{R_2} \right)^{-1}[/tex]
Is this the correct initial setup to differentiate this problem?
I am uncertain of the initial differential setup, due to the reciprocals...
This was my initial setup, however does not appear any simpler...
Any suggestions?
[tex]\frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
If R1 and R2 are increasing at rates:
[tex]\frac{d \Omega_1}{dt} = 0.3 \; \; \frac{d \Omega_2}{dt} = 0.2 \; \; R_1 = 80 \; \Omega \; \; R_2 = 100 \; \Omega[/tex]
How fast is Rt changing?
[tex]\frac{d \Omega_t}{dt} = \frac{d}{dt} \left( \frac{1}{R_1} + \frac{1}{R_2} \right)^{-1}[/tex]
Is this the correct initial setup to differentiate this problem?
I am uncertain of the initial differential setup, due to the reciprocals...
This was my initial setup, however does not appear any simpler...
Any suggestions?
Last edited: