Increasing the coil's number of turns expanding the current. Putting a core made of iron into the solenoid.
(a) Because Bpropto n states that the magnetic field will grow if the number of turns per unit length is increased.
(b) Once more, B=mu 0(H+M)=mu 0(nI+M) is true, with M being the magnetization of the magnetic material. Therefore, the magnetic field will intensify if we place a magnetic substance within the solenoid.. (correct option)
c) because, according to Bpropto I, the magnetic field will increase if we raise the current.. (correct option)
(d) Because Bpropto frac1 L, if we lengthen it but keeping the total number of turns same , the magnetic field will decrease....(option (d) is incorrect)
(e) If we keep the number of turns per unit length constant , the magnetic field will unchanged ....(option (e) is incorrect )
<h3> what is referred by the cross sectional area of a solenoid? </h3>
The way it is wound, or more specifically, the circle, is referred to as the cross section. Circle does not depend on what it has within.
A solenoid is a wire wound in general in a circular shape, even when it is not forced, the cross section refers to the way in which it is wound, in general to the circle and is joined to determine the area A = π r². This circle is the same whether it is in the air, a liquid, or a solid because it is independent of what is inside,
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