GREPhysics.NET
GR | # Login | Register
   
  GR9277 #32
Problem
GREPhysics.NET Official Solution    Alternate Solutions
\prob{32}
9277_32

In the circuit shown above, the resistance are given in ohms and the battery is assumed ideal with emf equal to 3.0 volts.

The resistor that dissipates the most power is


  1. $R_1$
  2. $R_2$
  3. $R_3$
  4. $R_4$
  5. $R_5$

Electromagnetism}Circuits

Power is related to current and resistance by P=I^2R. The resistor that has the most current would be R_1 and R_{eq} (the equivalent resistance of all the resistors except for R_1), since all the other resistors share a current that is split from the main current running from the battery to R_1. Since R_{eq}<R_1, the most power is thus dissipated through R_1, as in choice (A).

See below for user comments and alternate solutions! See below for user comments and alternate solutions!
Alternate Solutions
There are no Alternate Solutions for this problem. Be the first to post one!
Comments
NoPhysicist3
2017-03-23 10:13:45
Notice that the total resistance of the smallest circuit is 20 ohms. Therefore total resistance of the right vertical bar is 50 ohms, which is the same as R2. Since the current distributes between R2 end effective R (combined from R3, R4, R5) equally, we imply that the maximum current is at the R1, and therefore the maximum power is.NEC
tatitechno
2011-09-24 03:50:22
Hope we get one the these in the test !!
scottsaw
2013-08-24 11:05:35
Does anybody know if ETS ever re-uses old questions?
mrshroom29
2013-09-19 22:25:32
Ive seen some similar questions between test. Then again I've seen test that are completely different from one another. If there is a possibility of being repeated or similar questions, they will be off the most recent tests that have been released.
NoPhysicist3
2017-03-23 10:14:23
They stopped doing this after the cheating in china was revealed.
NEC

Post A Comment!
Username:
Password:
Click here to register.
This comment is best classified as a: (mouseover)
 
Mouseover the respective type above for an explanation of each type.

Bare Basic LaTeX Rosetta Stone

LaTeX syntax supported through dollar sign wrappers $, ex., $\alpha^2_0$ produces .
type this... to get...
$\int_0^\infty$
$\partial$
$\Rightarrow$
$\ddot{x},\dot{x}$
$\sqrt{z}$
$\langle my \rangle$
$\left( abacadabra \right)_{me}$
$\vec{E}$
$\frac{a}{b}$
 
The Sidebar Chatbox...
Scroll to see it, or resize your browser to ignore it...