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prasanjit

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  1. Asked: September 9, 2024In: Education

    Find the curl of E when B is given as 15t.

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:27 pm

    b Explanation: From Maxwell first law, we get Curl of E as the negative derivative of B with respect to time. Thus Curl(E) = -dB/dt. On substituting B= 15t and differentiating, Curl(E) = -15 units.

    b
    Explanation: From Maxwell first law, we get Curl of E as the negative derivative of B with respect to time. Thus Curl(E) = -dB/dt. On substituting B= 15t and differentiating, Curl(E) = -15 units.

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  2. Asked: September 9, 2024In: Education

    The charge density of a field with a position vector as electric flux density is given by

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:26 pm

    d Explanation: The Gauss law for electric field states that the divergence of the electric flux density is the charge density. Thus Div(D) = ρ. For D as a position vector, the divergence of the position vector D will be always 3. Thus the charge density is also 3.

    d
    Explanation: The Gauss law for electric field states that the divergence of the electric flux density is the charge density. Thus Div(D) = ρ. For D as a position vector, the
    divergence of the position vector D will be always 3. Thus the charge density is also 3.

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  3. Asked: September 9, 2024In: Education

    The line integral of which parameter is zero for static fields?

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:23 pm

    a Explanation: The field is irrotational for static fields. Thus curl of E is zero. From Stokes theorem, the line integral of E is same as the surface integral of the curl of E. Since it is zero, the line integral of E will also be zero.

    a
    Explanation: The field is irrotational for static fields. Thus curl of E is zero. From Stokes theorem, the line integral of E is same as the surface integral of the curl of E. Since it is zero, the line integral of E will also be zero.

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  4. Asked: September 9, 2024In: Education

    For static fields, the curl of E will be

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:23 pm

    b Explanation: For static fields, the charges will be constant and the field is constant. Thus curl of the electric field intensity will be zero. This implies the field is irrotational.

    b
    Explanation: For static fields, the charges will be constant and the field is constant. Thus curl of the electric field intensity will be zero. This implies the field is irrotational.

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  5. Asked: September 9, 2024In: Education

    Which of the following relations is correct?

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:22 pm

    c Explanation: The emf induced in a material is given by the line integral of the electric field intensity. Thus EMF = ∫ E.dl is the correct relation

    c
    Explanation: The emf induced in a material is given by the line integral of the electric
    field intensity. Thus EMF = ∫ E.dl is the correct relation

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  6. Asked: September 9, 2024In: Education

    Which of the following relations is correct?

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:21 pm

    a Explanation: The reluctance is also defined by the ratio of the current element to the flux. In other words, mmf = NI. Thus S = NI/φ. We get the relation NI = Sφ.

    a
    Explanation: The reluctance is also defined by the ratio of the current element to the flux. In other words, mmf = NI. Thus S = NI/φ. We get the relation NI = Sφ.

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  7. Asked: September 9, 2024In: Education

    The line integral of the electric field intensity is

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:18 pm

    b Explanation: From the Maxwell first law, the transformer emf is given by the line integral of the electric field intensity. Thus the emf is given by ∫ E.dl.

    b
    Explanation: From the Maxwell first law, the transformer emf is given by the line integral
    of the electric field intensity. Thus the emf is given by ∫ E.dl.

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      • 0
  8. Asked: September 9, 2024In: Education

    The electric field intensity of a field with velocity 10m/s and flux density of 2.8 units is

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:18 pm

    b Explanation: The electric field is the product of the velocity and the magnetic flux densitygiven by E = v x B. On substituting v = 10 and B = 2.8, we get E = 10 x 2.8 = 28 units.  

    b
    Explanation: The electric field is the product of the velocity and the magnetic flux densitygiven by E = v x B. On substituting v = 10 and B = 2.8, we get E = 10 x 2.8 = 28 units.

     

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  9. Asked: September 9, 2024In: Education

    Find the electric field intensity of a charge 2.5C with a force of 3N.

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:17 pm

    d Explanation: The electric field intensity is the electric force per unit charge. It is given by E = F/q. On substituting F = 2.5 and q = 3, we get E = 3/2.5 units.

    d
    Explanation: The electric field intensity is the electric force per unit charge. It is given by E = F/q. On substituting F = 2.5 and q = 3, we get E = 3/2.5 units.

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      • 0
  10. Asked: September 9, 2024In: Education

    Find the emf induced in a coil of 60 turns with a flux rate of 3 units.

    prasanjit
    prasanjit Teacher
    Added an answer on September 10, 2024 at 5:16 pm

    b Explanation: The emf induced is the product of the turns and the flux rate. Thus Vemf = -Ndφ/dt. On substituting N = 60 and dφ/dt = 3, we get emf as -60 x 3 = -180 units.

    b
    Explanation: The emf induced is the product of the turns and the flux rate. Thus Vemf = -Ndφ/dt. On substituting N = 60 and dφ/dt = 3, we get emf as -60 x 3 = -180 units.

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