(a) Find magnetic flux density in the two mediums, i.e. B⃗1 and B⃗2 (b) Find the magnetization v

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Question

(a) Find magnetic flux density in the two mediums, i.e. \(\vec{B}_1\) and \(\vec{B}_2\) (b) Find the magnetization vector \(\vec{M}\) in the medium 1 and 2. 4. (10 marks) As shown in Fig. 5, a coaxial cable with an inner and outer radius of a and b, respectively, is filled with two mediums of \(\mu_1\) and \(\mu_2\). A current I flows from the inner to the outer conductor (inner and outer conductor have the opposite direction current I). The conductor has a permeability of \(\mu\). (a) Find the stored magnetic energy by the coaxial cable in unit length. (b) Find the self inductance of the coaxial cable per unit length. 5. (20 marks) As shown in Fig. 3, a coaxial cable is filled with two mediums with permittivity of \(\epsilon_1\) and \(\epsilon_2\), and conductivity of \(\sigma_1\) and \(\sigma_2\). The inner and outer conductor has a radius of a and c, respectively. The inner and outer conductor are applied with a constant voltage of V (the positive polarity is at the inner conductor). The two mediums are separated at r=b. (a) Find the current density that is thru the two mediums, i.e. between the inner and outer conductor. (b) Find the electric fields in the two mediums. (c) Find the leaky resistance per unit length (resistance between inner and outer conductor) (d) Find the capacitance per unit length.

          (a) Find magnetic flux density in the two mediums, i.e. \(\vec{B}_1\) and \(\vec{B}_2\)
(b) Find the magnetization vector \(\vec{M}\) in the medium 1 and 2.
4. (10 marks) As shown in Fig. 5, a coaxial cable with an inner and outer radius of a and
b, respectively, is filled with two mediums of \(\mu_1\) and \(\mu_2\). A current I flows from
the inner to the outer conductor (inner and outer conductor have the opposite
direction current I). The conductor has a permeability of \(\mu\).
(a) Find the stored magnetic energy by the coaxial cable in unit length.
(b) Find the self inductance of the coaxial cable per unit length.
5. (20 marks) As shown in Fig. 3, a coaxial cable is filled with two mediums with
permittivity of \(\epsilon_1\) and \(\epsilon_2\), and conductivity of \(\sigma_1\) and \(\sigma_2\). The inner and outer
conductor has a radius of a and c, respectively. The inner and outer conductor
are applied with a constant voltage of V (the positive polarity is at the inner
conductor). The two mediums are separated at r=b.
(a) Find the current density that is thru the two mediums, i.e. between the inner and
outer conductor.
(b) Find the electric fields in the two mediums.
(c) Find the leaky resistance per unit length (resistance between inner and outer
conductor)
(d) Find the capacitance per unit length.

(a) Find magnetic flux density in the two mediums, i.e. B⃗1 and B⃗2
(b) Find the magnetization vector M⃗ in the medium 1 and 2.
4. (10 marks) As shown in Fig. 5, a coaxial cable with an inner and outer radius of a and
b, respectively, is filled with two mediums of μ1 and μ2. A current I flows from
the inner to the outer conductor (inner and outer conductor have the opposite
direction current I). The conductor has a permeability of μ.
(a) Find the stored magnetic energy by the coaxial cable in unit length.
(b) Find the self inductance of the coaxial cable per unit length.
5. (20 marks) As shown in Fig. 3, a coaxial cable is filled with two mediums with
permittivity of ϵ1 and ϵ2, and conductivity of σ1 and σ2. The inner and outer
conductor has a radius of a and c, respectively. The inner and outer conductor
are applied with a constant voltage of V (the positive polarity is at the inner
conductor). The two mediums are separated at r=b.
(a) Find the current density that is thru the two mediums, i.e. between the inner and
outer conductor.
(b) Find the electric fields in the two mediums.
(c) Find the leaky resistance per unit length (resistance between inner and outer
conductor)
(d) Find the capacitance per unit length.

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