A uniform electric field, with a magnitude of 500 V/m, is points in the +x direction. If the potential at is 2500 V, what is the potential at?
A) 0.50 kV
B) 1.0 kV
C) 2.0 kV
D) 4.0 kV
E) 5.0 kV
D
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The feel of a website is the combination of design aspects.
Answer the following statement true (T) or false (F)
A conducting bar rests on two parallel horizontal rails 50 cm apart forming a square area. The resistance of the bar and the rails is assumed to be constant and equal to 0.05 ?
A uniform magnetic field 0.5 T is perpendicular to the plane of the rails. The value of the field is uniformly reduced to zero in a time of 0.1 s. What is the maximum value of the force acting on the bar during that time? A) 6.25 N B) 4.12 N C) 2.05 N D) 5.75 N E) 1.00 N
This diagram represents the life track of a 1 solar-mass star from its pre-main-sequence stages to just before its final death. Refer to the life stages labeled with roman numerals. During which stage does the star have an inert (nonfusing) helium core?
A) Stage iii B) Stage iv C) Stage vi D) Stage vii E) Stage viii
A small aluminum sphere of diameter D, initially at a uniform temperature To, is immersed in a liquid whose temperature, T?, varies sinusoidally according to
T? – Tm = A sin (? t) where: Tm = time-averaged temperature of the liquid A = amplitude of the temperature fluctuation ? = frequency of the fluctuations
If the heat transfer coefficient between the fluid in the sphere, ah , is constant and the system may be treated as ‘lumped capacity,’ derive an expression for the sphere temperature as a function of time.
GIVEN
• A small aluminum sphere is immersed in a liquid whose temperature varies sinusoidally
• Diameter of sphere = D
• Liquid temperature variation: T? – Tm = A sin (? t)
• The heat transfer coefficient = ah (constant)
• The system may be treated as a ‘lumped capacity’
FIND
• An expression for the sphere temperature as a function of time
ASSUMPTIONS
• Constant thermal conductivity
SKETCH
