BSc Sem V 2015 2016 2016 Physics 4 Question Paper - Mumbai University | munotes
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Questions asked in this paper
for on electrostatic field, div E = p/e,and curl
xamine whether the following is a possible field:
4 is a constant with appropriate units
Use Gauss’ Law to find the electrostatic field and inside
the: potential in both the regions, taking the reference
An infinite plane carries a uniform surface charge density Find
find the for points inside and outside a charged parallel
cap making the appropriate assumptions
ii) Find the electric field at distance from an infinitely long, straight
Obtain an expression for potential due to bound charges, for a
Us Biot-Savart's law, show that V-B = 0. Also explain the physical
Obtain law for a polaized dielectric in both differential
For a very long solenoid consisting of closely wound turns per
it of radius 'R' and carrying a steady current
=0 and B,=0. Calculate both inside and outside
ain why | ry to modify Ampere's law in its original
Explain: now laxwell modified it. 10
sion for energy stored in a magnetic field. What is
Give the interpretation of surface curreut density K, . 5
4 (a) Attempt any one of the following:
the electromagnetic wave equation in vacuum, where there are
no free charges or currents. For a piane wave, show that the electric
field, magnetic field and the direction of propagation are mutually
(ii) State and prove and obtain its differential version. 10
(b) Attempt any one of the following:
(i) medium & = 17.7 x C?/Nm? and p= 4 2 x 10-7 N/A?
Find the velocity cf plane electromagnetic wave in the medium. Also
find the refractive index of the medium.(c=3 x 10* m/s) 5
(ii) Show that in cuse of plane monochromatic waves the contributions from
electric magnetic fields towards the electromagnetic energy density
5S. (a) Attempt any one of the following:
(i) plane to be a grounded, conducting plane. Charges q,,
Ay held fixed at (x,,y,,z,) and respectively where both
Locate the image charges and hence find V(x,y,z) for
xamine whether the following is a possible field:
4 is a constant with appropriate units
Use Gauss’ Law to find the electrostatic field and inside
the: potential in both the regions, taking the reference
An infinite plane carries a uniform surface charge density Find
find the for points inside and outside a charged parallel
cap making the appropriate assumptions
ii) Find the electric field at distance from an infinitely long, straight
Obtain an expression for potential due to bound charges, for a
Us Biot-Savart's law, show that V-B = 0. Also explain the physical
Obtain law for a polaized dielectric in both differential
For a very long solenoid consisting of closely wound turns per
it of radius 'R' and carrying a steady current
=0 and B,=0. Calculate both inside and outside
ain why | ry to modify Ampere's law in its original
Explain: now laxwell modified it. 10
sion for energy stored in a magnetic field. What is
Give the interpretation of surface curreut density K, . 5
4 (a) Attempt any one of the following:
the electromagnetic wave equation in vacuum, where there are
no free charges or currents. For a piane wave, show that the electric
field, magnetic field and the direction of propagation are mutually
(ii) State and prove and obtain its differential version. 10
(b) Attempt any one of the following:
(i) medium & = 17.7 x C?/Nm? and p= 4 2 x 10-7 N/A?
Find the velocity cf plane electromagnetic wave in the medium. Also
find the refractive index of the medium.(c=3 x 10* m/s) 5
(ii) Show that in cuse of plane monochromatic waves the contributions from
electric magnetic fields towards the electromagnetic energy density
5S. (a) Attempt any one of the following:
(i) plane to be a grounded, conducting plane. Charges q,,
Ay held fixed at (x,,y,,z,) and respectively where both
Locate the image charges and hence find V(x,y,z) for
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