In the circuit shown in the figure all the resistors are rated at a maximum power of 1.20W.
A link to the diagram is here: http://www.cramster.com/answers-sep-10/physics/maximum-emf-circuit-circuit-shown-figure-resistors-ra_928084.aspx
What is the maximum emf that the battery can have without burning up any of the resistors?
I keep getting 12.3 but this is not correct
A link to the diagram is here: http://www.cramster.com/answers-sep-10/physics/maximum-emf-circuit-circuit-shown-figure-resistors-ra_928084.aspx
What is the maximum emf that the battery can have without burning up any of the resistors?
I keep getting 12.3 but this is not correct
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added a bit the circuit is fairly simple if you understand things
yes the 20 ohm resistors above the 40 ohm ones are connected they are just a parallel arangement inside a parallel circuit .. so it looks complicated
but again just use ohms law on each parallel arrangment to find the total of the parallels then substitute that value in and then calculate the larger parallel
so with the big parallel this is what you do
the two 20 ohms are in parallel
this means the total resistance of the two is 10 ohms
because
1/Rt = 1/R1 + 1/R2 + 1/R3
if all R's are the same
then this becomes
1/Rt = 1/R + 1/R + 1/R
1/Rt = 3/R
inverting
Rt = R/3
so basically Rt of a parallel arangement of equal resistors is
Rt = R/n where n is the number of resistors
with two 20's
Rt = 20/2 = 10 ohms
we then replace the 2 20's with a single 10 ohm in the circuit and that produces
a simple parallel series arrangement
then you add all the resistors in series in each branch to make the branches a single resistor
so the ownly one with 2 resistors in a branch is the 10 and 2x 20 ohm branch
so since its value is now 10 and 10 ohm = 20 ohms now
so the parallel circuit becomes
25 ohms
15 ohms
20 ohms
now you just put in the formula and calculate it
1/Rt = 1/25 + 1/15 + 1/20
Rt in this case = 6.38
Rt = 126.38
I = V/Rt
this is the currrent running through each series component since it splits at the parallel circuits the power in them will be substantially lower
yes the 20 ohm resistors above the 40 ohm ones are connected they are just a parallel arangement inside a parallel circuit .. so it looks complicated
but again just use ohms law on each parallel arrangment to find the total of the parallels then substitute that value in and then calculate the larger parallel
so with the big parallel this is what you do
the two 20 ohms are in parallel
this means the total resistance of the two is 10 ohms
because
1/Rt = 1/R1 + 1/R2 + 1/R3
if all R's are the same
then this becomes
1/Rt = 1/R + 1/R + 1/R
1/Rt = 3/R
inverting
Rt = R/3
so basically Rt of a parallel arangement of equal resistors is
Rt = R/n where n is the number of resistors
with two 20's
Rt = 20/2 = 10 ohms
we then replace the 2 20's with a single 10 ohm in the circuit and that produces
a simple parallel series arrangement
then you add all the resistors in series in each branch to make the branches a single resistor
so the ownly one with 2 resistors in a branch is the 10 and 2x 20 ohm branch
so since its value is now 10 and 10 ohm = 20 ohms now
so the parallel circuit becomes
25 ohms
15 ohms
20 ohms
now you just put in the formula and calculate it
1/Rt = 1/25 + 1/15 + 1/20
Rt in this case = 6.38
Rt = 126.38
I = V/Rt
this is the currrent running through each series component since it splits at the parallel circuits the power in them will be substantially lower
12
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